Existence of solutions in the α-norm for partial functional differential equations with infinite delay

被引：0

作者：

Ezzinbi, Khalil ^{[1
]}

Rebey, Amor

机构：

[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 59期

关键词：

Analytic semigroup; Fractional power; Infinite delay; Mild solution; Sadovskii's fixed point theorem; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we prove a result on the local existence of mild solution in the alpha-norm for some partial functional differential equations with infinite delay. We suppose that the linear part generates a compact analytic semigroup. The nonlinear part is just assumed to be continuous. We use the compactness method, to show the main result of this work. Some application is provided.

引用

页码：1 / 16

页数：16

共 50 条

[1] EXISTENCE AND STABILITY IN THE α-NORM FOR SOME PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Benkhalti, Rachid
Ezzinbi, Khalil
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2006, 19 (05) : 545 - 572
[2] Existence for a class of partial functional differential equations with infinite delay
Adimy, M
Bouzahir, H
Ezzinbi, K
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (01) : 91 - 112
[3] EXISTENCE AND REGULARITY OF LOCAL SOLUTIONS TO PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Bouzahir, Hassane
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[4] EXISTENCE OF PERIODIC SOLUTIONS TO FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
黄启昌
[J]. Science China Mathematics, 1985, (03) : 242 - 251
[5] EXISTENCE OF SOLUTIONS OF SECOND-ORDER PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Henriquez, Hernan R.
Hernandez M, Eduardo
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (06) : 1861 - 1882
[6] EXISTENCE AND STABILITY FOR SOME PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Ezzinbi, Khalil
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
[7] Existence results in the alpha-norm for neutral partial functional integro-differential equations with infinite delay
Diao, Boubacar
Ezzinbi, Khalil
Sy, Mamadou
[J]. AFRIKA MATEMATIKA, 2016, 27 (3-4) : 457 - 468
[8] EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR INFINITE DELAY FUNCTIONAL DIFFERENTIAL EQUATIONS
Hu Xiulin Zhou Zongfu (School of Math
[J]. Annals of Applied Mathematics, 2006, (03) : 270 - 276
[9] EXISTENCE OF SOLUTIONS IN THE α-NORM FOR PARTIAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE WITH FINITE DELAY
Ezzinbi, Khalil
Megdiche, Hatem
Rebey, Amor
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[10] EXISTENCE OF μ-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO ABSTRACT PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Chang, Yong-Kui
N'Guerekata, G. M.
Zhang, Rui
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (03): : 628 - 664

← 1 2 3 4 5 →