| Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Difference equations and nonexistence of solutions of an integral equation | Journal: | Applied Mathematics and Computation | Volume: | 219 | Issue: | 4 | First page: | 1998 | Last page: | 2003 | Issue Date: | 1-Nov-2012 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2012.08.041 | Abstract: | 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 equationf(x)=∫ X(a(x,t) +b(x,t)|f(t)| p)dμ(t),where p≥1 and X is a measurable space with probability measure μ. |
Keywords: | Difference equations | Integral equation | Measurable space | Nonexistence of solutions | Probability measure | Publisher: | Elsevier |
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