On implicit abstract neutral nonlinear differential equations

被引:0
|
作者
Hernandez, Eduardo [1 ]
O'Regan, Donal [2 ]
机构
[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP, Brazil
[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源
APPLIED MATHEMATICS AND OPTIMIZATION | 2016年 / 73卷 / 02期
基金
巴西圣保罗研究基金会;
关键词
Neutral equations; Strict solutions; Nonlinear equations; Analytic semigroup; INTEGRODIFFERENTIAL EQUATIONS; UNBOUNDED DELAY; INFINITE DELAY; HEAT-CONDUCTION; EXISTENCE; CONTROLLABILITY; INCLUSIONS; SYSTEMS; MEMORY; SPACES;
D O I
10.1007/s00245-015-9305-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we continue our developments in Hernandez and O'Regan (J Funct Anal 261:3457-3481, 2011) on the existence of solutions for abstract neutral differential equations. In particular we extend the results in Hernandez and O'Regan (J Funct Anal 261:3457-3481, 2011) for the case of implicit nonlinear neutral equations and we focus on applications to partial "nonlinear" neutral differential equations. Some applications involving partial neutral differential equations are presented.
引用
收藏
页码:329 / 347
页数:19
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