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
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
  • [41] Existence Results for Some Partial Integro-Differential Equations
    Senoussi Guesmia
    Rokia Kechkar
    Mohamed Said Moulay
    [J]. Mediterranean Journal of Mathematics, 2016, 13 : 4063 - 4079
  • [42] Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay
    Yan, Zuomao
    Lu, Fangxia
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 557 - 577
  • [43] PERIODIC SOLUTIONS FOR NONLINEAR NEUTRAL DELAY INTEGRO-DIFFERENTIAL EQUATIONS
    Bellour, Azzeddine
    Dads, El Hadi Ait
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [44] ASYMPTOTIC STABILITY OF NONLINEAR NEUTRAL DELAY INTEGRO-DIFFERENTIAL EQUATIONS
    Nowak, Grzegorz
    Saker, Samir H.
    Sikorska-Nowak, Aneta
    [J]. MATHEMATICA SLOVACA, 2023, 73 (01) : 103 - 118
  • [45] Stability of neutral Volterra integro-differential equations with infinite delay
    Li, Xiushuai
    Jiang, Jiao
    [J]. PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 4 (02):
  • [46] Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay
    Yong Ren
    Yan Qin
    R. Sakthivel
    [J]. Integral Equations and Operator Theory, 2010, 67 : 33 - 49
  • [47] Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay
    Ren, Yong
    Qin, Yan
    Sakthivel, R.
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2010, 67 (01) : 33 - 49
  • [48] New qualitative results to delay integro-differential equations
    Tunc, Osman
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 1131 - 1141
  • [49] EXISTENCE RESULTS FOR A NEW CLASS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE DEPENDENT DELAY
    Benchohra, Mouffak
    Litimein, Sara
    [J]. MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2018, 74 : 27 - 38
  • [50] Existence and computational results to Volterra–Fredholm integro-differential equations involving delay term
    Rohul Amin
    Ali Ahmadian
    Nasser Aedh Alreshidi
    Liping Gao
    Mehdi Salimi
    [J]. Computational and Applied Mathematics, 2021, 40