Bifurcation of Solutions of the Boundary-Value Problem for Systems of Integrodifferential Equations with Degenerate Kernel

被引：0

作者：

Bondar I.A. ^{[1
]}

Ovchar R.F. ^{[2
]}

机构：

[1] Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivs’ka Str., 3, Kyiv

[2] Ukrainian National University of Biological Resources and Nature Management, Heroiv Oborony Str., 15, Kyiv

来源：

Journal of Mathematical Sciences | 2019年 / 238卷 / 3期

关键词：

D O I：

10.1007/s10958-019-04231-y

中图分类号：

学科分类号：

摘要：

We establish sufficient conditions for the existence of solutions of a weakly perturbed linear boundary-value problems for a system of integrodifferential equations. We also establish conditions for the existence and uniqueness of solutions of problems of this kind and propose an iterative procedure for the construction of the required solutions. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：224 / 235

页数：11

共 50 条

[41] Hölder estimates for solutions to the degenerate boundary-value venttsel' problem for parabolic and elliptic equations of nondivergence type [J].

Apushkinskaya D.E. ;

Nazarov A.I. .

Journal of Mathematical Sciences, 1999, 97 (4) :4177-4188

[42] NONEXISTENCE OF GLOBAL SOLUTIONS AND BIFURCATION ANALYSIS FOR A BOUNDARY-VALUE PROBLEM OF PARABOLIC TYPE [J].

PAO, CV .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 65 (02) :245-251

[43] BIFURCATION AND STABILITY OF POSITIVE SOLUTIONS OF A 2-POINT BOUNDARY-VALUE PROBLEM [J].

WANG, SH ;

KAZARINOFF, ND .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1992, 52 :334-342

[44] A boundary-value problem for hyperbolic equations [J].

Troitskaya, SD .

IZVESTIYA MATHEMATICS, 1998, 62 (02) :399-428

[45] Correction to: Weakly Perturbed Impulsive Boundary-Value Problem for Integrodifferential Systems in the Resonance Case [J].

I. A. Bondar ;

O. P. Strakh .

Journal of Mathematical Sciences, 2024, 278 (6) :1113-1113

[46] On a Nonlocal Boundary-Value Problem for Systems of Impulsive Hyperbolic Equations [J].

Assanova, A. T. .

UKRAINIAN MATHEMATICAL JOURNAL, 2013, 65 (03) :349-365

[47] On a Nonlocal Boundary-Value Problem for Systems of Impulsive Hyperbolic Equations [J].

A. T. Asanova .

Ukrainian Mathematical Journal, 2013, 65 :349-365

[48] Correction to: Weakly Perturbed Impulsive Boundary-Value Problem for Integrodifferential Systems in the Resonance Case [J].

I. A. Bondar ;

O. P. Strakh .

Journal of Mathematical Sciences, 2023, 277 (2) :352-352

[49] Weakly Perturbed Boundary-Value Problems for the Fredholm Integral Equations with Degenerate Kernel in Banach Spaces [J].

Zhuravlev V.F. ;

Fomin N.P. .

Journal of Mathematical Sciences, 2019, 238 (3) :248-262

[50] SMOOTHNESS OF SOLUTIONS OF A BOUNDARY-VALUE PROBLEM FOR ELLIPTIC-EQUATIONS WITH A PARAMETER [J].

KONDRATEV, VA ;

UROEV, VM .

DIFFERENTIAL EQUATIONS, 1985, 21 (08) :967-971

← 1 2 3 4 5 →