Global existence for functional semilinear Volterra integrodifferential equations in Banach spaces

被引：3

作者：

Ntouyas, SK ^{[1
]}

Tsamatos, PC ^{[1
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

ACTA MATHEMATICA HUNGARICA | 1998年 / 80卷 / 1-2期

关键词：

Banach Space; Global Existence; Integrodifferential Equation; Volterra Integrodifferential Equation;

D O I：

10.1023/A:1006568624752

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the global existence of solutions for initial value problems for functional semilinear Volterra integrodifferential equations in a banach space, by using the Leray-Schauder Alternative.

引用

页码：67 / 82

页数：16

共 50 条

[41] CONTROLLABILITY FOR SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS
Jeong, Jin-Mun
Kim, Han-Geul
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (03) : 463 - 475
[42] Global existence for retarded volterra integrodifferential equations with Hille-Yosida operators
Chang, Jung-Chan
Lang, Cheng-Lien
DYNAMIC SYSTEMS AND APPLICATIONS, 2007, 16 (04): : 625 - 641
[43] Existence of Solutions to Nonlinear Impulsive Volterra Integral Equations in Banach Spaces
陈芳启
田瑞兰
Transactions of Tianjin University, 2005, (02) : 152 - 155
[44] Existence of solutions for nonlinear impulsive Volterra integral equations in Banach spaces
Chen, FQ
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2002, 9 (03): : 429 - 438
[45] On Solution of a Nonlinear Functional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces
Zuomao Yan
Zhaonian Pu
Results in Mathematics, 2009, 55
[46] On Solution of a Nonlinear Functional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces
Yan, Zuomao
Pu, Zhaonian
RESULTS IN MATHEMATICS, 2009, 55 (3-4) : 493 - 505
[47] GLOBAL EXISTENCE AND UNIQUENESS FOR A VOLTERRA INTEGRODIFFERENTIAL EQUATION
LOVELADY, DL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (01): : A126 - &
[48] EXISTENCE THEOREMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Sghir, A.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2009, 78 (02): : 287 - 302
[49] GLOBAL EXISTENCE FOR ABSTRACT NONLINEAR VOLTERRA-FREDHOLM FUNCTIONAL INTEGRODIFFERENTIAL EQUATION
Dhakne, M.
Kucche, Kishor
DEMONSTRATIO MATHEMATICA, 2012, 45 (01) : 117 - 127
[50] A GLOBAL EXISTENCE AND UNIQUENESS RESULT FOR FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Benchohra, M.
Litimein, S.
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2012, 58 (01): : 55 - 66

← 1 2 3 4 5 →