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
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.
引用
收藏
页码:1998 / 2003
页数:6
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