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Some notes on a second-order random boundary value problem

2017

We consider a two-point boundary value problem of second-order random differential equation. Using a variant of the α-ψ-contractive type mapping theorem in metric spaces, we show the existence of at least one solution.

Random differential equationApplied Mathematicsalpha-psicontractive type mapping010102 general mathematicslcsh:QA299.6-43302 engineering and technologylcsh:AnalysisType (model theory)01 natural sciencesrandom differential equationMetric spaceSettore MAT/05 - Analisi MatematicaRandom boundary0202 electrical engineering electronic engineering information engineeringApplied mathematicsOrder (group theory)020201 artificial intelligence & image processingBoundary value problem0101 mathematicsValue (mathematics)Analysisα-ψ-contractive type mappingmeasurable spaceMathematicsNonlinear Analysis
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