On existence and asymptotic stability of solutions of a nonlinear integral equation

被引:108
作者
Banas, J [1 ]
Rzepka, B [1 ]
机构
[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland
关键词
D O I
10.1016/S0022-247X(03)00300-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove an existence theorem for a nonlinear integral equation being a Volterra counterpart of an integral equation arising in the traffic theory. The method used in the proof allows us to obtain additional characterization in terms of asymptotic stability of solutions of an equation in question. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:165 / 173
页数:9
相关论文
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Banas J., 1980, Measure of noncompactness in Banach space
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Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7