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

共 50 条

[1] BOUNDARY-VALUE-PROBLEMS FOR NONLINEAR IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS
ERBE, LH
LIU, XZ
APPLIED MATHEMATICS AND COMPUTATION, 1990, 36 (01) : 31 - 50
[2] Impulsive boundary-value problems for weakly nonlinear systems with control
Karandjulov L.I.
Ukrainian Mathematical Journal, 1999, 51 (7) : 1020 - 1028
[3] ON　CERTAIN　BOUNDARY　VALUE　PROBLEMS　FOR　NONLINEAR　INTEGRODIFFERENTIAL　EQUATIONS
D. G. Pachpatte(Department of Mathematics and Statisics Marathwada University Aurangabad 431004 (Maharashtra)
Acta Mathematica Scientia, 1994, (02) : 226 - 234
[4] PERIODIC BOUNDARY VALUE PROBLEMS FOR NONLINEAR IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES
韦忠礼
Acta Mathematica Scientia, 1997, (01) : 35 - 43
[5] Periodic boundary value problems for nonlinear impulsive integrodifferential equations of mixed type in Banach spaces
Wei, ZL
ACTA MATHEMATICA SCIENTIA, 1997, 17 (01) : 35 - 43
[6] fWeakly Nonlinear Boundary-Value Problems for Systems of Impulsive Integrodifferential Equations. Critical Case of the Second Order
Bondar I.A.
Journal of Mathematical Sciences, 2020, 249 (4) : 553 - 572
[7] Boundary-Value Problems for Systems of Integrodifferential Equations
Boichuk O.A.
Holovats’ka I.A.
Journal of Mathematical Sciences, 2014, 203 (3) : 306 - 321
[8] ON CERTAIN BOUNDARY-VALUE-PROBLEMS FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS
PACHPATTE, DG
ACTA MATHEMATICA SCIENTIA, 1994, 14 (02) : 226 - 234
[9] Weakly nonlinear systems of integrodifferential equations
Boichuk O.A.
Golovats’ka I.A.
Journal of Mathematical Sciences, 2014, 201 (3) : 288 - 295
[10] Weakly Perturbed Impulsive Boundary-Value Problem for Integrodifferential Systems in the Resonance Case
Bondar I.A.
Strakh O.P.
Journal of Mathematical Sciences, 2023, 274 (1) : 13 - 24

← 1 2 3 4 5 →