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
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
收藏
页码:67 / 82
页数:16
相关论文
共 50 条
[31]   Existence of solutions of abstract volterra equations in a banach space and its subsets [J].
Mishura Y.S. .
Ukrainian Mathematical Journal, 2000, 52 (5) :741-753
[32]   Stability of solutions of Volterra integrodifferential equations [J].
Sergeev, V. S. .
MATHEMATICAL AND COMPUTER MODELLING, 2007, 45 (11-12) :1376-1394
[33]   Blow-up and global existence of solutions to integral equations with infinite delay in Banach spaces [J].
Xiao, Ti-Jun ;
Liang, Jin .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E1442-E1447
[34]   Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces [J].
Xiao, Ti-Jun ;
Liang, Jin ;
Zhang, Jun .
SEMIGROUP FORUM, 2008, 76 (03) :518-524
[35]   Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces [J].
Ti-Jun Xiao ;
Jin Liang ;
Jun Zhang .
Semigroup Forum, 2008, 76 :518-524
[36]   Strong Stability and Asymptotical Almost Periodicity of Volterra Equations in Banach Spaces [J].
Jian-Hua Chen ;
Ti-Jun Xiao .
Advances in Difference Equations, 2011
[37]   Fractional Linear Volterra Integro-Differential Equations in Banach Spaces [J].
Ilolov M.I. .
Journal of Mathematical Sciences, 2022, 268 (1) :56-62
[38]   EXISTENCE OF WEAK SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES [J].
范进军 ;
庄万 .
Annals of Differential Equations, 2000, (01) :20-33
[39]   Impulsive effects on global existence of solutions of semilinear heat equations [J].
Chan, CY ;
Deng, K .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (09) :1481-1489
[40]   An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces [J].
Mouffak Benchohra ;
Alberto Cabada ;
Djamila Seba .
Boundary Value Problems, 2009