Professor Dajun Guo: a true mathematician and educator

Guo, D.: Properties of Stieltjes integral of order 2. J. Sichuan Univ. (Natural Science Edition). (1), 21–32 (1955) (In Chinese)

Guo, D.: Uniformly complete continuity and norml approximation J. Sichuan Univ. (Natural Science Edition). (1), 79–96 (1957) (In Chinese)

Guo, D.: Sufficient conditions of uniformly complete continuity. J. Sichuan Univ. (Natural Science Edition). (2), 197–211 (1957) (In Chinese)

Guo, D.: On the existence and uniqueness and convergence of solutions for infinitely many linear operator equations. J. Shandong Univ. (Natural Science Edition). (1), 129–140 (1957) (In Chinese)

Guo, D.: On dimensions of ranges of linear operators. J. Shandong Univ. (Natural Science Edition). (1), 141–143 (1957) (In Chinese)

Guo, D.: On the factor splitting of integral kernels. J. Shandong Univ. (Natural Science Edition). (1), 69–74 (1958) (In Chinese)

Guo, D.: Some theorems of uniformly complete continuity. J. Sichuan Univ. (Natural Science Edition). (1), 1–6 (1958) (In Chinese)

Guo, D.: On $$B^*$$-compactness and $$B$$-compactness of sets in Orlicz spaces. J. Sichuan Univ. (Natural Science Edition). (1), 37–62 (1958) (In Chinese)

Guo, D.: On stability of solutions of linear integral equations. Scientia Sinica 8(4), 331–356 (1959). (In Russian)

Guo, D.: Stability of solutions for Volterra integral equations. J. Shandong Univ. (Natural Science Edition). (1), 107–112 (1959) (In Chinese)

Guo, D.: Covexity properties of space $$H^p$$. J. Shandong Univ. (Natural Science Edition). (3), 16–23 (1959) (In Chinese)

Guo, D.: Approximate solution of functional equation (I). J. Shandong Univ. (Natural Science Edition). (1), 67–80 (1960) (In Chinese)

Guo, D.: Approximate solution of functional equation (II). J. Shandong Univ. (Natural Science Edition). (3), 34–51 (1960) (In Chinese)

Guo, D.: Compactness of sets in Orlicz spaces. J. Shandong Univ. (Natural Science Edition). (3), 1–24 (1961). (In Chinese)

Guo, D.: Some properties of the Sobolev space $$W^{(l)}_p$$. J. Shandong Univ. (Natural Science Edition). (4), 1–20 (1961) (In Chinese)

Guo, D.: On the uniformly complete continuity of sets of operators. J. Shandong Univ. (Natural Science Edition). (2), 1–25 (1962) (In Chinese)

Guo, D.: Complete continuity of Urison operator. Scientia Sinica 11(4), 437–452 (1962) (In Russian)

Guo, D.: Further discussion for complete continuity of Urison operator. J. Shandong Univ. (Natural Science Edition). (2), 26–39 (1963) (In Chinese)

Guo, D.: Properties of Nemiskii operator and applications. Adv. Math. (China) 6(1), 70–91 (1963) (In Chinese)

Guo, D.: Some results of nonlinear integral equations and integral operators. J. Shandong Univ. (Natural Science Edition). (3), 8–21 (1964) (In Chinese)

Guo, D.: On tangent hyperbola process and Chebisev process. J. Shandong Univ. (Natural Science Edition). (4), 12–28 (1964) (In Chinese)

Guo, D.: Differentiability of Urison operator. J. Shandong Univ. (Natural Science Edition) (1), 1–6 (1965) (In Chinese)

Guo, D.: Solvability of Hammerstein nonlinear integral equations. Acta Math. Sinica 16(2), 137–149 (1966). (In Chinese)

Guo, D.: Proper values of Hammerstein nonlinear integral equations. Acta Math. Sinica 20(2), 99–108 (1977). (In Chinese)

Guo, D.: The solution of a nonlinear integral equation in nuclear physics. Kexue Tongbao 23(1), 27–31 (1978).(In Chinese)

Guo, D.: Nontrivial solutions of Hammerstein nonlinear integral equations. Kexue Tongbao 24(5), 193–197 (1979). (In Chinese)

Guo, D., Zhang, Q.: On the uniqueness of the solution of a nonlinear integral equation in nuclear physics. Kexue Tongbao 24(15), 678–681 (1979). (In Chinese)

Guo, D.: The solution for a nonlinear integral equation in the neutron transport theory. Acta Math. Sinica 22(2), 231–236 (1979). (In Chinese)

Guo, D.: The number of positive solutions of Hammerstein nonlinear integral equations. Acta Math. Sinica 22(5), 584–595 (1979). (In Chinese)

Guo, D.: Eigenvalues and eigenvectors of Hammerstein integral equations with degenerate kernels. J. Shandong Univ. (Natural Science Edition) 2, 20–28 (1979). (In Chinese)

Guo, D.: A new fixed-point theorem. Acta Math. Sinica 24(3), 444–450 (1981). (In Chinese)

Guo, D.: Eigenvalues and eigenfunctions of nonlinear operators. Chin. Ann. Math. (English Edition) 2(4), 65–80 (1981)

Guo, D.: Eigenvalues and eigenvectors of nonlinear completely continuous operators. J. Shandong Univ. (Natural Science Edition). (1), 7–15 (1981). (In Chinese)

Guo, D.: The positive spectrum of the limit operator of some nonlinear operators. J. Shandong Univ. (Natural Science Edition). (3), 1–19 (1981). (In Chinese)

Guo, D.: On the fixed point theorem of cone expansion and compression. Kexue Tongbao (English Edition) 27(6), 685 (1982)

Guo, D.: Positive solutions of Lyapunov-Lichtenstein nonlinear integral equation. J. Shandong Univ. (Natural Science Edition). (3), 1–11 (1982). (In Chinese)

Guo, D.: Eigenvalues and eigenfunctions of Hammerstein integral equations. Acta Math. Sinica 25(4), 419–426 (1982). (In Chinese)

Guo, D.: The number of nontrivial solutions of Hammerstein integral equations and their applications. Kexue Tongbao (English Edition) 27(7), 694–698 (1982)

Guo, D.: Positive solutions of Hammerstein integral equations of polynomial type with applications. Chin. Ann. Math. Ser. A 4(5), 645–656 (1983). (In Chinese. An English summary appears in: Chinese Ann. Math. Ser. B, 4(4) (1983), 529–530.)

Guo, D.: On some fixed point theorems for cone mappings. Kexue Tongbao (Chinese Edition) 28(20), 1217–1219 (1983). (English Edition, 29(5) (1984), 575–578)

Guo, D.: A fixed point theorem for decreasing operators with applications. Kexue Tongbao (Chinese Edition) 29(3), 189 (1984)

Guo, D.: The number of nontrivial solutions of nonlinear two-point boundary value problems. J. Math. Res. Exposit. 4(1), 55–60 (1984)

Guo, D.: The number of positive solutions of a class of two-point boundary value problems. J. Shandong Univ. (Natural Science Edition). (Special issue), 53–60 (1984) (In Chinese)

Guo, D.: On the solutions of a nonliear integral equation in neutron transport theory. J. Shandong Univ. (Natural Science Edition). (Special issue), 61–75 (1984) (In Chinese)

Guo, D.: Positive solutions to nonlinear operator equations with applications to nonlinear integral equations. Adv. Math. (China) 13(4), 294–310 (1984). (In Chinese)

Guo, D.: On the existence and uniqueness of positive fixed points of decreasing operaors. J. Shandong Univ. (Natural Science Edition). (1), 1–8 (1985) (In Chinese)

Guo, D.: Positive eigenvectors of decreasing operators and applications. Northeast. Math. J. 1(1), 101–109 (1985)

Guo, D.: Fixed points and eigenvectors of concave and convex operators. Kexue Tongbao 30(15), 1132–1135 (1985). (In Chinese)

Guo, D.: Solutions of Hammerstein nonlinear integral equations and applications. J. Qufu Normal Univ. (4), 1–6 (1985) (In Chinese)

Guo, D.: The number of nontrivial solutions to Hammerstein nonlinear integral equations. Chin. Ann. Math. Ser. B 7(2), 191–204 (1986). (A Chinese summary appears in: Chin. Ann. Math. Ser. A., 7(2) (1986), 239.)

Guo, D.: Some fixed point theorems and applications. Nonlinear Anal. 10(11), 1293–1302 (1986)

Guo, D.: Multiple positive solutions of nonlinear integral equations and applications. Appl. Anal. 23(1–2), 77–84 (1986)

Guo, D.: The number of positive solutions of a nonlinear integral equation modeling infectious disease. Chin. Ann. Math. Ser. A 8(1), 27–31 (1987). (In Chinese. An English summary appears in: Chin. Ann. Math. Ser. B, 8)

Guo, D., Lakshmikantham, V.: Coupled fixed points of nonlinear operators with applications. Nonlinear Anal. 11(5), 623–632 (1987)

Guo, D.: Some fixed point theorems of expansion and compression type with applications, Nonlinear Analysis and Applications (Arlington, Tex., : edited by V. Lakshmikantham, Lecture Notes in Pure and Appl. Math., 109, Marcel Dekker Inc., New York 1987, 213–221 (1986)

Guo, D., Sun, J.: Nonlinear Integral Equations. Shandong Sci. Tech. Press, Jinan (China) (1987). (In Chinese)

Guo, D., Lakshmikantham, V.: Nonlinear Problems in Abstract Cones, Notes and Reports in Mathematics in Science and Engineering, 5. Academic Press Inc, Boston (1988)

Guo, D., Sun, J.: Some global generalizations of the Birkhoff-Kellogg theorem and applications. J. Math. Anal. Appl. 129(1), 231–242 (1988)

Guo, D.: Multiple solutions of nonlinear Fredholm integral equations in Banach spaces, Differential Equations and Applications (Columbus, OH, : edited by A. R. Aftabizadeh, Ohio Univ. Press, Athens. OH (USA) 1989, 371–375 (1988)

Guo, D., Lakshmikantham, V.: Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces. J. Math. Anal. Appl. 129(1), 211–222 (1988)

Guo, D., Lakshmikantham, V.: Positive solutions of nonlinear integral equations arising in infectious diseases. J. Math. Anal. Appl. 134(1), 1–8 (1988)

Guo, D.: Fixed points of mixed monotone operators with applications. Appl. Anal. 31(3), 215–224 (1988)

Guo, D., Sun, J., Qi, G.: Some extensions of the mountain pass lemma. Differ. Integral Equ. 1(3), 351–358 (1988)

Guo, D., Sun, J.: Evaluation of topological degree and applications. J. Math. Res. Exposit. 8(3), 469–480 (1988). (In Chinese)

Guo, D.: Solutions of nonlinear integro-differential equations of mixed type in Banach spaces. J. Appl. Math. Simul. 2(1), 1–11 (1989)

Guo, D.: Multiple solutions of nonlinear Fredholm integral equations in Banach spaces. Chin. Ann. Math. Ser. B 10(4), 513–519 (1989). (A Chinese summary appears in: Chin. Ann. Math. Ser. A, 10 (5) (1989), 641)

Guo, D.: Fixed point theorem for domain expansion and compression. J. Qufu Normal Univ. 15(4), 1–7 (1989). (In Chinese)

Guo, D.: Extremal solutions of nonlinear Fredholm integral equations in ordered Banach spaces. Northeast. Math. J. 7(4), 416–423 (1991)

Guo, D.: Non-negative solutions of two-point boundary value problems for nonlinear second order integro-differential equations in Banach spaces. J. Appl. Math. Stochastic Anal. 4(1), 47–69 (1991)

Guo, D.: Impulsive integral equations in Banach spaces and applications. J. Appl. Math. Stochastic Anal. 5(2), 111–122 (1992)

Erbe, L.H., Guo, D.: Periodic boundary value problems for second order integro-differential equations of mixed type. Appl. Anal. 46(3–4), 249–258 (1992)

Erbe, L.H., Guo, D., Liu, X.: Positive solutions of a class of nonlinear integral equations and applications. J. Integral Equ. Appl. 4(2), 179–195 (1992)

Erbe, L.H., Krawcewicz, W., Guo, D.: Some fixed point theorems for multivalued maps and applications. Results Math. 21(1–2), 42–64 (1992)

Guo, D.: Existence and uniqueness of positive fixed points for mixed monotone operators and applications. Appl. Anal. 46(1–2), 91–100 (1992)

Guo, D.: Multiple positive solutions of impulsive nonlinear Fredholm integral equations and applications. J. Math. Anal. Appl. 173(1), 318–324 (1993)

Guo, D.: Positive fixed points and eigenvectors of noncompact decreasing operators with applications to nonlinear integral equations. Chin. Ann. Math. Ser. B 14(4), 419–426 (1993). (A Chinese summary appears in: Chin. Ann. Math. Ser. A, 14(6) (1993), 739)

Guo, D.: Nonlinear impulsive Volterra integral equations in Banach spaces and applications. J. Appl. Math. Stochastic Anal. 6(1), 35–48 (1993)

Guo, D., Liu, X.: Extremal solutions of nonlinear impulsive integro-differential equations in Banach spaces. J. Math. Anal. Appl. 177(2), 538–552 (1993)

Guo, D.: Existence of solutions of boundary value problems for nonlinear second order impulsive differential equations in Banach spaces. J. Math. Anal. Appl. 181(2), 407–421 (1994)

Erbe, L.H., Guo, D.: Method of upper and lower solutions for nonlinear integro-differential equations of mixed type in Banach spaces. Appl. Anal. 52(1–4), 143–154 (1994)

Guo, D.: Initial value problems for integro-differential equations of Volterra type in Banach spaces. J. Appl. Math. Stochastic Anal. 7(1), 13–23 (1994)

Guo, D., Sun, J.: Some questions in the theory of ordinary differential equations in Banach spaces. Adv. Math. (China) 23(6), 492–504 (1994). (In Chinese)

Guo, D.: Proper functions of nonlinear Fredholm integral equations in Banach spaces. In: Guo, D. (ed.) Nonlinear Analysis and Applications, pp. 1–11. Beijing Sci. Tech. Press, Beijing (China) (1994). (In Chinese)

Guo, D., Erbe, L.H., Krawcewicz, W. : Positive solutions of two-point boundary value problems for nonlinear integro-differential equations in Banach spaces. Differ. Equ. Dyn. Syst. 2(3), 161–171 (1994)

Guo, D.: Extreme solutions of nonlinear second order integro-differential equations in Banach spaces. J. Appl. Math. Stochastic Anal. 8(3), 319–329 (1995)

Guo, D., Liu, X.: Multiple positive solutions of boundary-value problems for impulsive differential equations. Nonlinear Anal. 25(4), 327–337 (1995)

Liu, X., Guo, D.: Initial value problems for first order impulsive integro-differential equations in Banach spaces. Commun. Appl. Nonlinear Anal. 2(1), 65–83 (1995)

Liu, X., Guo, D.: Extremal solutions of nonlinear impulsive Fredholm integral equations in Banach spaces and applications. Differ. Equ. Dyn. Syst. 3(1), 77–88 (1995)

Guo, D.: Initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces. J. Math. Anal. Appl. 200(1), 1–13 (1996)

Guo, D., Lakshmikantham, V., Liu, X.: Nonlinear Integral Equations in Abstract Spaces, Mathematics and Its Applications, 373. Kluwer Academic Publishers Group, Dordrecht (1996)

Guo, D., Liu, X.: Impulsive integro-differential equations on unbounded domain in a Banach space. Nonlinear Stud. 3(1), 49–57 (1996)

Guo, D.: On global solutions of nonlinear integral equations in Banach spaces. Indian J. Pure Appl. Math. 27(1), 57–71 (1996)

Guo, D.: Some results on nonlinear functional analysis. In: Li, B., et al. (eds.) Functional Analysis in China, Math. Appl., 356, pp. 53–70. Kluwer Academic Publishers Group, Dordrecht (1996)

Guo, D., Liu, X.: First order impulsive integro-differential equations on unbounded domain in a Banach space. Dyn. Contin. Discrete Impuls. Syst. 2(3), 381–394 (1996)

Guo, D., Liu, X.: Periodic boundary value problems for impulsive integro-differential equations in Banach spaces. Nonlinear World 3(3), 427–441 (1996)

Guo, D.: Periodic boundary value problems for second order impulsive integro-differential equations in Banach spaces. Nonlinear Anal. 28(6), 983–997 (1997)

Guo, D.: Initial value problems for second order impulsive integro-differential equations in Banach spaces. Chin. Ann. Math. Ser. B 18(4), 439–448 (1997). (A Chinese summary appears in: Chin. Ann. Math. Ser. A, 18(5) (1997), 665)

Guo, D.: Terminal value problems of impulsive integro-differential equations in Banach spaces. J. Appl. Math. Stochastic Anal. 10(1), 71–78 (1997)

Guo, D.: Existence and Uniqueness of Solutions of Impulsive Integro-Differential Equations in Banach Spaces, Advances in Nonlinear Dynamics, 5, pp. 245–251. Gordon and Breach, Amsterdam (1997)

Liu, X., Guo, D.: Periodic boundary value problems for a class of second-order impulsive integro-differential equations in Banach spaces. J. Math. Anal. Appl. 216(1), 284–302 (1997)

Guo, D.: Minimal nonnegative solutions for impulsive integro-differential equations on unbounded domains in Banach spaces. Indian J. Pure Appl. Math. 29(1), 1–18 (1998)

Liu, X., Guo, D.: Periodic boundary value problems for impulsive integro-differential equations of mixed type in Banach spaces. Chin. Ann. Math. Ser. B 19(4), 517–528 (1998). (A Chinese summary appears in: Chin. Ann. Math. Ser. A, 19(5) (1998), 658)

Guo, D.: Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space. Appl. Math. Comput. 99(1), 1–15 (1999)

Guo, D.: Second order impulsive integro-differential equations on unbounded domains in Banach spaces. Nonlinear Anal. Ser. A: Theory Methods 35(4), 413–423 (1999)

Guo, D.: Initial value problems for second-order integro-differential equations in Banach spaces. Nonlinear Anal. Ser. A: Theory Methods 37(3), 289–300 (1999)

Liu, X., Guo, D.: Method of upper and lower solutions for second-order impulsive integro-differential equations in a Banach space. Comput. Math. Appl. 38(3–4), 213–223 (1999)

Guo, D.: Integro-differential equations on unbounded domains in Banach spaces. Chin. Ann. Math. Ser. B 20(4), 435–446 (1999)

Guo, D.: The method of partial ordering in nonlinear analysis. J. Ningxia Univ. Nat. Sci. Ed. 20(1), 5–11 (1999). (In Chinese)

Guo, D.: Second order integro-differential equations of Volterra type on unbounded domains in Banach spaces. Nonlinear Anal. Ser. A: Theory Methods 41(3–4), 465–476 (2000)

Guo, D.: Existence and uniqueness of positive fixed points for noncompact decreasing operators. Indian J. Pure Appl. Math. 31(5), 551–562 (2000)

Guo, D.: Minimal nonnegative solutions for nth order integro-differential equations in Banach spaces. Appl. Math. Comput. 113(1), 55–65 (2000)

Guo, D.: Nonlinear functional analysis and applications. Sci. Found. China 8(1), 50–53 (2000)

Guo, D.: Integro-differential equations on unbounded domains in Banach spaces, Integral and integrodifferential equations, Ser. Math. Anal. Appl., 2, Gordon and Breach, Amsterdam, 117–124 (2000)

Guo, D.: Existence of solutions for nth-order integro-differential equations in Banach spaces. Comput. Math. Appl. 41(5–6), 597–606 (2001)

Guo, D.: Existence of solutions for nth order impulsive integro-differential equations in a Banach space. Proceedings of the Third World Congress of Nonlinear Analysis, Part 2 (Catania, 2000). Nonlinear Anal., 47(2), 741–752 (2001)

Guo, D.: Initial value problems of first order impulsive integro-differential equations on unbounded domain in a Banach space. Commun. Appl. Anal. 5(4), 523–533 (2001)

Guo, D.: A class of second-order impulsive integro-differential equations on unbounded domain in a Banach space. Appl. Math. Comput. 125(1), 59–77 (2002)

Guo, D., Liu, X.: A boundary value problem for first order impulsive integro-differential equations in Banach spaces. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 9(3), 449–462 (2002)

Guo, D.: A class of nth-order impulsive integrodifferential equations in Banach spaces. Comput. Math. Appl. 44(10–11), 1339–1356 (2002)

Guo, D., Sun, J.: Ordinary Differential Equations in Abstract Spaces, 2nd edn. Shandong Sci. Tech Press, Jinan (2002). (In Chinese)

Guo, D.: Multiple positive solutions for first order nonlinear integro-differential equations in Banach spaces. Nonlinear Anal. 53(2), 183–195 (2003)

Guo, D.: A boundary value problem for nth order integro-differential equations in a Banach space. Appl. Math. Comput. 136(2–3), 571–592 (2003)

Guo, D.: Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space. Appl. Math. Comput. 143(2–3), 233–249 (2003)

Guo, D., Liu, X.: A boundary value problem for second order impulsive integro-differential equations in a Banach space. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10(6), 1001–1016 (2003)

Guo, D.: Multiple positive solutions of a boundary value problem for n th-order impulsive integro-differential equations in a Banach space. Nonlinear Anal. 56(7), 985–1006 (2004)

Guo, D.: Multiple positive solutions for a class of nonlinear integro-differential equations in Banach spaces. Appl. Math. Comput. 154(2), 469–485 (2004)

Guo, D., Cho, Y.J., Zhu, J.: Partial Ordering Methods in Nonlinear Problems. Nova Science Publishers Inc, New York (2004)

Guo, D.: Multiple positive solutions for nth-order impulsive integro-differential equations in Banach spaces. Nonlinear Anal. 60(5), 955–976 (2005)

Guo, D.: Multiple positive solutions of a boundary value problem for n th-order impulsive integro-differential equations in Banach spaces. Nonlinear Anal. 63(4), 618–641 (2005)

Guo, D., Sun, J., Liu, Z.: Functional Analysis Methods in Nonlinear Ordinary Differential Equations, 2nd edn. Shandong Sci. Tech Press, Jinan (2005). (In Chinese)

Guo, D.: Extremal solutions for nth-order impulsive integro-differential equations on the half-line in Banach spaces. Nonlinear Anal. 65(3), 677–696 (2006)

Guo, D., Liu, X.: Extremal solutions for a boundary value problem of nth-order impulsive integro-differential equations in a Banach space. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 13(5), 599–619 (2006)

Guo, D.: Existence of positive solutions for n th-order nonlinear impulsive singular integro-differential equations in Banach spaces. Nonlinear Anal. 68(9), 2727–2740 (2008)

Guo, D.: Positive solutions of an infinite boundary value problem for n th-order nonlinear impulsive singular integro-differential equations in Banach spaces. Nonlinear Anal. 70(5), 2078–2090 (2009)

Guo, D.: Multiple positive solutions for first order impulsive superlinear integro-differential equations on the half line. Acta Math. Sci. Ser. B (English Edition) 31(3), 1167–1178 (2011)

Guo, D.: Multiple positive solutions for first-order impulsive integrodifferential equations on the half line in Banach spaces, Inter. J. Differ. Equ., 2011, Art. ID 634612, 22 pp

Guo, D.: Multiple positive solutions for first order impulsive singular integro-differential equations on the half line. Acta Math. Sci. Ser. B (English Edition) 32(6), 2176–2190 (2012)

Guo, D.: Variational approach to a class of impulsive differential equations. Bound. Value Probl. 2014, 37 (2014)

Guo, D.: Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half line. Bound. Value Probl. 2015, 76 (2015)

Guo, D.: Nonlinear Functional Analysis, 3rd edn. Higher Edu Press, Beijing (2015). (In Chinese)

Guo, D.: Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces. Bound. Value Probl. 2016, 70 (2016)