EXISTENCE RESULTS FOR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY

被引：31
|
作者：
Dos Santos, Jose Paulo C. [1 ]
Henriquez, Hernan [2 ]
Hernandez, Eduardo [3 ]
机构：
[1] Univ Fed Alfenas, Dept Ciencias Exatas, BR-37130000 Alfenas, MG, Brazil
[2] Univ Santiago, USACH, Dept Matemat, Santiago, Chile
[3] Univ Sao Paulo, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2011年 / 23卷 / 02期
关键词：
Integro-differential equations; classical solutions; strict solutions; sectorial operators; FUNCTIONAL-DIFFERENTIAL EQUATIONS; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; HEAT-CONDUCTION; INCLUSIONS;
D O I：
10.1216/JIE-2011-23-2-289
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we discuss the existence of mild, strict and classical solutions for a class of abstract integro-differential equations in Banach spaces. Some applications to ordinary and partial integro-differential equations are considered.
引用
收藏
页码：289 / 330
页数：42
相关论文
共 50 条
  • [1] EXISTENCE OF SOLUTIONS FOR ABSTRACT NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
    Hernandez, Eduardo M.
    O'Regan, Donal
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (03) : 691 - 706
  • [2] Existence of solutions for abstract neutral integro-differential equations with unbounded delay
    Eduardo M. Hernández
    Donal O’Regan
    [J]. Czechoslovak Mathematical Journal, 2011, 61 : 691 - 706
  • [3] Existence results for partial neutral integro-differential equation with unbounded delay
    Hernandez, Eduardo M.
    Dos Santos, Jose P. C.
    [J]. APPLICABLE ANALYSIS, 2007, 86 (02) : 223 - 237
  • [4] Existence Results for Abstract Partial Neutral Integro-differential Equation with Unbounded Delay
    Hernandez M, Eduardo
    Henriquez, Hernan R.
    dos Santos, Jose Paulo C.
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (29) : 1 - 23
  • [5] EXISTENCE OF SOLUTIONS FOR A FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH UNBOUNDED DELAY
    de Andrade, Bruno
    Carvalho dos Santos, Jose Paulo
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [6] Controllability for a class of fractional neutral integro-differential equations with unbounded delay
    Vijayakumar, V.
    Selvakumar, A.
    Murugesu, R.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 : 303 - 312
  • [7] Existence results for ψ-Caputo fractional neutral functional integro-differential equations with finite delay
    Boutiara, Abdellatif
    Abdo, Mohamed S.
    Benbachir, Maamar
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (06) : 2380 - 2401
  • [8] Existence results for fractional neutral integro-differential equations with state-dependent delay
    Carvalho dos Santos, Jose Paulo
    Arjunan, M. Mallika
    Cuevas, Claudio
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1275 - 1283
  • [9] EXISTENCE RESULTS FOR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
    Zhu, Jianbo
    Fu, Xianlong
    [J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020, 32 (02) : 239 - 258
  • [10] EXISTENCE RESULTS OF SOLUTIONS FOR SOME FRACTIONAL NEUTRAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
    Nouri, Kazem
    Nazari, Marjan
    Torkzadeh, Leila
    Keramati, Bagher
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2018, 19 (01): : 49 - 67
12345