EXISTENCE OF SOLUTIONS OF NONLOCAL PERTURBATIONS OF DIRICHLET DISCRETE NONLINEAR PROBLEMS-中国期刊网

摘要 Thispaperisdevotedtothestudyofsecondordernonlineardifferenceequations.ANonlocalPerturbationofaDirichletBoundaryValueProblemisconsidered.AnexhaustivestudyoftherelatedGreen'sfunctiontothelinearpartisdone.Theexactexpressionofthefunctionisgiven,moreovertherangeofparameterforwhichithasconstantsignisobtained.Usingthis,someexistenceresultsforthenonlinearproblemarededucedfrommonotoneiterativetechniques,theclassicalKrasnoselskifixedpointtheoremorbyapplicationofrecentfixedpointtheoremsthatcombineboththeories.

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EXISTENCE OF SOLUTIONS OF NONLOCAL PERTURBATIONS OF DIRICHLET DISCRETE NONLINEAR PROBLEMS

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EXISTENCE OF SOLUTIONS OF NONLOCAL PERTURBATIONS OF DIRICHLET DISCRETE NONLINEAR PROBLEMS

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