Singular Cauchy Initial Value Problem for Certain Classes of Integro-Differential Equations

被引：0

作者：

Zdeněk Šmarda

机构：

[1] Brno University of Technology,Department of Mathematics, Faculty of Electrical Engineering and Communication

来源：

Advances in Difference Equations | / 2010卷

关键词：

Differential Equation; Banach Space; Singular Point; Point Theorem; Fixed Point Theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The existence and uniqueness of solutions and asymptotic estimate of solution formulas are studied for the following initial value problem: [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is a constant and [inline-graphic not available: see fulltext]. An approach which combines topological method of T. Ważewski and Schauder's fixed point theorem is used.

引用

共 50 条

[1] Singular Cauchy Initial Value Problem for Certain Classes of Integro-Differential Equations
Smarda, Zdenek
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[2] Singular Initial Value Problem for a System of Integro-Differential Equations
Smarda, Zdenek
Khan, Yasir
ABSTRACT AND APPLIED ANALYSIS, 2012,
[3] The Cauchy problem for random singular integro-differential equations
Matveev, AF
DIFFERENTIAL EQUATIONS, 1996, 32 (05) : 685 - 692
[4] Nonclassical Cauchy problem for singular parabolic integro-differential equations
Muravnik, AB
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2002, 9 (03) : 300 - 314
[5] Singular initial value problem for a system of integro-differential equations unsolved with respect to the derivative
Smarda, Zdenek
Khan, Yasir
APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 : 290 - 296
[6] INITIAL VALUE PROBLEM FOR A NONLINEAR SINGULAR INTEGRO-DIFFERENTIAL EQUATION
张领海
ActaMathematicaScientia, 1994, (03) : 261 - 271
[7] Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations
Diblik, Josef
Rebenda, Josef
Smarda, Zdenek
ABSTRACT AND APPLIED ANALYSIS, 2013,
[8] Cauchy problem for a class of integro-differential equations
G. A. Grigoryan
Differential Equations, 2013, 49 : 1075 - 1086
[9] Stabilization of the Cauchy problem for integro-differential equations
Kengne E.
Tayou Simo J.
Ukrainian Mathematical Journal, 2005, 57 (11) : 1836 - 1843
[10] Cauchy problem for a class of integro-differential equations
Grigoryan, G. A.
DIFFERENTIAL EQUATIONS, 2013, 49 (09) : 1075 - 1086

← 1 2 3 4 5 →