Multiple Heteroclinic solutions of bilateral difference systems with Laplacian operators
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Elsayed, E.M., El-Metwally, H.A.: Qualitative Studies of Scalars and Systems of Differene Equations. Lab Lambert Academic Press, Saarbrucken (2012)
Elaydi, S.: An Introduction to Difference Equations, 3rd edn. Springer, Berlin (2005)
Starr, G.P.: Introduction to applied digital control, 2nd edn. John Wiley and Sons Ltd, New York (2006)
Avery, R.I., Peterson, A.C.: Three positive fixed points of nonlinear operators on ordered banach spaces. Comput. Math. Appl. 42, 313–322 (2001)
Agarwal, P.R., O’Regan, D.: Cone compression and expansion and fixed point theorems in Frchet spaces with application. J. Differ. Equ. 171(2), 412–422 (2001)
Agarwal, R.P., O’Regan, D.: Nonlinear Urysohn discrete equations on the infinite interval: a fixed-point approach. Comput. Math. Appl. 42(3–5), 273–281 (2001)
Avery, R.I., Peterson, A.C.: Three positive fixed points of nonlinear operators on ordered Banach spaces. Comput. Math. Appl. 42(3–5), 313–322 (2001)
Cheung, W., Ren, J., Wong, P.J.Y., Zhao, D.: Multiple positive solutions for discrete nonlocal boundary value problems. J. Math. Anal. Appl. 330(2), 900–915 (2007)
Avery, R.I.: A generalization of Leggett-Williams fixed point theorem. Math. Sci. Res. Hot Line 3(12), 9–14 (1993)
Li, Y., Lu, L.: Existence of positive solutions of p-Laplacian difference equations. Appl. Math. Lett. 19(10), 1019–1023 (2006)
Liu, Y., Ge, W.: Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator. J. Math. Anal. Appl. 278(2), 551–561 (2003)
Pang, H., Feng, H., Ge, W.: Multiple positive solutions of quasi-linear boundary value problems for finite difference equations. Appl. Math. Comput. 197(1), 451–456 (2008)
Wong, P.J.Y., Xie, L.: Three symmetric solutions of lidstone boundary value problems for difference and partial difference equations. Comput. Math. Appl. 45(6–9), 1445–1460 (2003)
Yu, J., Guo, Z.: On generalized discrete boundary value problems of Emden-Fowler equation. Sci. China (Ser. A Math.) 36(7), 721–732 (2006)
Agarwal, R.P.: Difference Equations and Inequalities: Theory, Methods, and Applications, Second edition, Marcel Dekker Inc, 2000.
Ma, R., Raffoul, T.: Positive solutions of three-point nonlinear discrete second order boundary value problem. J. Differ. Equ. Appl. 10(2), 129–138 (2004)
Liu, Y.: Positive solutions of BVPs for finite difference equations with one-dimensional p -Laplacian. Commu. Math. Anal. 4(1), 58–77 (2008)
Agarwal, R.P., O’Regan, D.: Boundary value problems for general discrete systems on infinite intervals. Comput. Math. Appl. 33(7), 85–99 (1997)
Tian, Y., Ge, W.: Multiple positive solutions of boundary value problems for second-order discrete equations on the half-line. J. Differ. Equ. Appl. 12(2), 191–208 (2006)
Agarwal, R.P., O’Regan, D.: Discrete systems on infinite intervals. Comput. Math. Appl. 35(9), 97–105 (1998)
Kanth, A.R., Reddy, Y.: A numerical method for solving two point boundary value problems over infinite intervals. Appl. Math. Comput. 144(2), 483–494 (2003)
Agarwal, R.P., Bohner, M., O’Regan, D.: Time scale boundary value problems on infinite intervals. J. Comput. Appl. Math. 141(1–2), 27–34 (2002)
Rachunek, L., Rachunkoa, I.: Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics. Nonlinear Anal. Real World Appl. 12, 14–23 (2011)
Chen, H., He, Z.: Infinitely many homoclinic solutions for second-order discrete Hamiltonian systems. J. Diff. Equ. Appl. 19, 1940–1951 (2013)
Karpenko, O., Stanzhytskyi, O.: The relation between the existence of bounded solutions of differential equations and the corresponding difference equations. J. Diff. Equ. Appl. 19, 1967–1982 (2013)
Chen, P.: Existence of homoclinic orbits in discrete Hamiltonian systems without Palais-Smale condition. J. Differ. Equ. Appl. 19, 1981–1994 (2013)
