Numerical method of solving boundary-value problems for integrodifferential equations with deviating argument

Springer Science and Business Media LLC - Tập 41 - Trang 734-739 - 1989
I. M. Cherevko1, I. V. Yakimov1
1Chernovtsy University, USSR

Tài liệu tham khảo

V. L. Miroshnichenko, “The solution of a boundary-value problem for a second-order differential equation with retarded argument by the method of spline functions,” Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat., No. 5, 46–50 (1972). I. M. Cherevko and I. V. Yakimov, “A numerical method of solving boundary-value problems for differential equations with deviating argument,” in: Functional-Differential Equations and Their Applications [in Russian], Dagestanskii Universitet, Makhachkala (1986), pp. 218–220. F. J. Burkowski and D. D. Cowan, “The numerical derivation of a periodic solution of a second order differential-difference equation,” SIAM J. Numer. Anal.,10, No. 3, 489–495 (1973). A. Yu. Luchka, “On a boundary-value problem for linear differential equations with deviating argument,” in: Differential-Functional and Difference Equations [in Russian], Izd. Akad. Nauk Ukr. SSR, Inst. Mat., Kiev (1981), pp. 35–56. L. É. Él'sgol'ts, Introduction to the Theory of Differential Equations with Deviating Argument [in Russian], Nauka, Moscow (1971). S. B. Stechkin and Yu. N. Subbotin, Splines in Mathematics of Computation [in Russian], Nauka, Moscow (1976). Yu. S. Zav'yalov, B. N. Kvasov, and V. L. Miroshnichenko, The Methods of Spline Functions [in Russian], Nauka, Moscow (1980). P. Lancaster, Theory of Matrices, Academic Press, New York-London (1969).