Existence of solutions for some nonautonomous partial functional differential equations with state-dependent delay

被引：0
作者：
Kpoumiè M.E.-K. [1 ]
Nsangou A.H.G. [2 ]
Ndambomve P. [3 ]
Zabsonre I. [4 ]
Mboutngam S. [2 ]
机构：
[1] Departement de Mathematiques Appliquées et Informatique, Université de Ngaoundéré, Ècole de Géologie et Exploitation Miniére, B.P. 115, Meiganga
[2] Departement de Mathematiques, Université de Maroua, Ècole Normale Supérieure, B.P. 55, Maroua
[3] Faculty of Science, Department of Mathematics, University of Buea, P.O. Box 63, Buea
[4] Département de Mathématiques, Université de Ouaga 1 Pr Joseph KI-ZERBO, Unité de Recherche et de Formation en Sciences Exactes et Appliquées, B.P.7021, 03, Ouagadougou
来源：
SeMA Journal | 2020年 / 77卷 / 2期
关键词：
Mild solutions; Nonautonomous equations; Nondensely defined operator; State-dependent delay;
D O I：
10.1007/s40324-019-00206-w
中图分类号：
学科分类号：
摘要：
The aim of this work is to prove the existence of mild solutions for some nondensely nonautonomous partial functional differential equations with state-dependent delay in Banach spaces. We assume that the linear part is not necessarily densely defined and generates an evolution family. Our approach is based on a nonlinear alternative of Leray–Schauder type and nonautonomous evolution family with nondensely domain. We propose a reaction diffusion equation with state-dependent delay to illustrate the obtained result. © 2019, Sociedad Española de Matemática Aplicada.
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页码：107 / 118
页数：11
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