Measure of Noncompactness and Partial Functional Differential Equations with State-Dependent Delay

被引:2
作者
Benchohra M. [1 ,2 ]
Medjadj I. [1 ]
机构
[1] Laboratory of Mathematics, University of Sidi Bel-Abbès, PO Box 89, Bel-Abbès
[2] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah
关键词
Cosine function of operator; Fixed point; Functional differential equation; Infinite delay; Measure of noncompactness; Mild solution; Semigroup theory; State-dependent delay;
D O I
10.1007/s12591-016-0325-7
中图分类号
学科分类号
摘要
Our aim in this work is to study the existence of solutions of first and second order functional differential equations with state-dependent delay. We use the Mönch’s fixed point theorem for the existence of solutions and the concept of measures of noncompactness. © 2016, Foundation for Scientific Research and Technological Innovation.
引用
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页码:139 / 155
页数:16
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