Difference equations and nonexistence of solutions of an integral equation

被引：0
|
作者：
Stevic, Stevo [1 ]
机构：
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 04期
关键词：
Difference equations; Nonexistence of solutions; Measurable space; Probability measure; Integral equation; BOUNDEDNESS CHARACTER; GLOBAL STABILITY; ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; SYSTEM; EXISTENCE; XN+1;
D O I：
10.1016/j.amc.2012.08.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using difference equations, we give some easily applicable sufficient conditions for the non-existence of nonnegative solutions satisfying some additional conditions, of the integral equation f(x) = integral(x)(a(x, t) + b(x, t)vertical bar f(t)vertical bar(p))d mu(t,) where p >= 1 and X is a measurable space with probability measure mu. (C) 2012 Elsevier Inc. All rights reserved.
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页码：1998 / 2003
页数：6
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