SolutionsofaClassofDiscrete FourthOrderBoundaryValueProblems
Keywords:
Discreteboundaryvalueproblem,fourthorder,solutions,variationalmethods, local linking,criticalpointsAbstract
Westudythediscretefourthorderboundaryvalueproblem {∆4ut α∆2ut βut f t,ut , t ,NZ, u ∆u , uN ∆2uN , whereN isan integer, α,β , andf ,NZ R Ris continuous inthe second argument. Weobtainseveral criteria for theexistenceof oneandmultiple solutionsof the problem. Ouranalysis ismainlybasedonthevariationalmethodandcritical point theory. Examplesarepresentedtoillustrateourresults.
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