Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities

被引:0
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作者
Alberto Cabada
Nikolay D. Dimitrov
机构
[1] Universidade de Santiago de Compostela,Departamento de Estatística, Análise Matemática e Optimización, Instituto de Matemáticas, Facultade de Matemáticas
[2] University of Ruse,Department of Mathematics
关键词
Inverse discrete problem; Difference equation; Green’s function; Spectral radius; 39A10; 39A06; 39A70;
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摘要
This paper is concerned with the existence of solutions of an inverse discrete problem with sign-changing nonlinearity. This kind of problems includes, as a particular case, nth order difference equations coupled with suitable conditions on the boundary of the interval of definition. It would be valid for the case in which the related Green’s function is positive on a subset of its rectangle of definition.
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