简介:Inthepresentpaper,westudycertaindifferentialinequalitiesinvolvingp-valentfunctionsandobtainsufficientconditionsforuniformlyp-valentstarlikenessanduniformlyp-valentconvexity.Wealsoofferacorrectversionofsomeknowncriteriaforuniformlyp-valentstarlikeanduniformlyp-valentconvexfunctions.
简介:Analgorithmofcontinuousstage-spaceMCMCmethodforsolvingalgebraequationf(x)=0isgiven.Itisavailableforthecasethatthesignoff(x)changesfrequentlyorthederivativef'(x)doesnotexistintheneighborhoodoftheroot,whiletheNewtonmethodishardtowork.Letnbethenumberofrandomvariablescreatedbycomputerinouralgorithm.Thenafterrn=O(n)transactionsfromtheinitialvalueXo,X^*canbegotsuchthat[f(x^*)|<e-^cm|f(xo)|bychoosingsuitablepositiveconstantc.Anillustrationisalsogivenwiththediscussionofconvergencebyadjustingtheparametersinthealgorithm.
简介:本文研究具Balakrishnan-Taylor阻尼的Kirchhoff方程初边值问题.利用Nakao不等式,得到了解的衰减性.
简介:Weintroducethecategoryoft-foldmoduleswhichisafullsubcategoryofgradedmodulesoveragradedalgebra.Weshowthatthissubcategoryandhencethesubcategoryoft-Koszulmodulesarebothclosedunderextensionsandcokernelsofmonomorphisms.Westudytheone-pointextensionalgebras,andanecessaryandsufficientconditionforsuchanalgebratobet-Koszulisgiven.Wealsoconsidertheconditionssuchthatthecategoryoft-Koszulmodulesandthecategoryofquadraticmodulescoincide.
简介:Inthispaper,weshallestablishthateachweaksolutionofp-harmonictypesystemswiththegradientsbelowthecontrollablegrowthbelongsto,HldercontinuityspaceswithanyHlderexponenta∈[0,1).Furthermore,wecanobtainthatthegradientsofthecorrespondingweaksolutionsalsobelongtolocallyHldercontinuityspaceswithsomeHlderexponent.