简介:Inthispaper,usingthecontextofcompletepartialmetricspaces,somecommonfixedpointresultsofmapsthatsatisfythegeneralized(φ,ψ)-weakcontractiveconditionsareobtained.Ourresultsgeneralize,extend,unify,enrichandcomplementmanyexistingresultsintheliterature.Examplearegivenshowingthevalidatyofourresults.
简介:Thepresentarticleinvestigatesthedualnatureofthesolutionofthemagnetohydrodynamic(MHD)stagnation-pointflowofaPrandtlfluidmodeltowardsashrinkingsurface.Theself-similarnonlinearordinarydifferentialequationsaresolvednumericallybytheshootingmethod.Itisfoundthatthedualsolutionsoftheflowexistforcertainvaluesofthevelocityratioparameter.Thespecialcaseofthefirstbranchsolutions(theclassicalNewtonianfluidmodel)iscomparedwiththepresentnumericalresultsofstretchingflow.Theresultsarefoundtobeingoodagreement.Itisalsoshownthattheboundarylayerthicknessforthesecondsolutionisthickerthanthatforthefirstsolution.
简介:Inthispaper,weconsidertheexistenceofthreenontrivialsolutionsforadiscretenon-linearmultiparameterperiodicprobleminvolvingthep-Laplacian.ByusingthesimilarmethodfortheDirichletboundaryvalueproblemsin[G.BonannoandP.Candito,Appl.Anal.,88(4)(2009),pp.605-616],weconstructtwonewstrongmaximumprinciplesandobtainthattheboundaryvalueproblemhasthreepositivesolutionsforλandμinsomesuitableintervals.Theapproachesweusearethecriticalpointtheory.