WEAKLY NONLINEAR IMPULSIVE BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF INTEGRODIFFERENTIAL EQUATIONS

被引：1

作者：

Bondar, I. ^{[1
]}

Gromyak, M. ^{[2
]}

Kozlova, N. ^{[3
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, 3 Tereshchenkivska Str, UA-01601 Kiev, Ukraine

[2] Volodymyr Hnatiuk Natl Pedag Univ, Dept Math & Phys, 10 Vynnychenka Str, UA-46018 Ternopol, Ukraine

[3] Taras Shevchenko Natl Univ, Mech & Math Fac, 4 Akad Glushkova Ave, UA-03127 Kiev, Ukraine

来源：

MISKOLC MATHEMATICAL NOTES | 2016年 / 17卷 / 01期

关键词：

integrodifferential equations; weakly nonlinear boundary-value problem; Moore-Penrose pseudoinverse matrix; impulsive action; a generating solution; the equation for generating constants; iterative process;

D O I：

10.18514/MMN.2016.1897

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary and sufficient conditions for the existence of solutions of weakly nonlinear boundary-value problem of systems of integrodifferential equations with impulsive action at fixed points of time are obtained. Convergent iterative procedure of the solution and establish the connection between the necessary condition and the sufficient condition are presented.

引用

页码：69 / 84

页数：16

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