共查询到14条相似文献,搜索用时 40 毫秒
1.
EXISTENCE OF MULTIPLE SOLUTIONS AND BIFURCATIONFOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS 总被引:3,自引:0,他引:3
DENG Yinbin 《系统科学与复杂性》1995,(4)
EXISTENCEOFMULTIPLESOLUTIONSANDBIFURCATIONFORCRITICALSEMILINEARBIHARMONICEQUATIONSEXISTENCEOFMULTIPLESOLUTIONSANDBIFURCATIONF... 相似文献
2.
CUI Shangbin 《系统科学与复杂性》1995,(3)
POSITIVESOLUTIONSFORDIRICHLETPROBLEMSOFSINGULARSEMILINEARELLIPTICEQUATIONS¥CUIShangbin(DepartmentofMathematics,LanzhouUnivers... 相似文献
3.
ZHONGJinbiao CHENZuchi 《系统科学与复杂性》2004,17(3):325-331
In this paper an existence theorem of positive radial solutions to a class of semilinear elliptic systems is proved by the Leray-Schauder degree theorem. Also, a nonexistence theorem is obtained. As an application of the main theorem, an example is given. 相似文献
4.
LI Shujie 《系统科学与复杂性》1992,(3)
In references,some authors have succeeded in obtaining existence re-sults of the superlinear wave equation without the assumption of monotonicity forthe nonlinear term.In this paper,we present existence results for this problem byusing local linking idea and improve some previous results. 相似文献
5.
LIU Hailiang 《系统科学与复杂性》1994,(4)
ANEXISTENCETHEOREMFORRADIALPOSITIVESOLUTIONSOFNONLINEARDEGENERATEELLIPTICEQUATIONSLIUHailiang(DepartmentofMathematics,HenanNo... 相似文献
6.
YUAN Wenjun 《系统科学与复杂性》1996,(1)
ONTHEEXISTENCEOFMEROMORPHICSOLUTIONSOFALGEBRAICDIFFERENTIALEQUATIONS¥YUANWenjun(DepatmentofMathematics,XinjiangNoormalUnivers... 相似文献
7.
DAI Qiuyi 《系统科学与复杂性》1997,(4)
1.IntroductionConsiderthefollowinginitial-boundaryvalueproblemforthesystemsofsemilinearparabolicequationsWhereG.~(--a,a)x(0,Ta),r.~({--a,a}x[0,Ta))U([--a,a]x{0}),andf(z)andg(z)satisfy(FGI)f(z):(--co,ba)-R ,g(z):(--co,bl)-R ,f(0)>0,andg(0)>0;(FG2)i(z)andg(… 相似文献
8.
THEGENERALIZEDSOLUTIONSOFPBVPFORINTEGRO-DIFFERENTIALEQUATIONSZHUANGWan;CHENYubo(DepartmentofMathematics,ShandongNormalUnivers... 相似文献
9.
CORRECTIONFORCOLLOCATIONSOLUTIONSOFWIENER-HOPFEQUATIONS¥SHIJun;LINQun(InstituteofSystemsScience,AcademiaSinica,Beijing100080,... 相似文献
10.
Shuxiang YU 《系统科学与复杂性》2006,19(1):72-75
Using the concept of an isolated invariant set,some existence criteria of orbits connectingtwo critical points bifurcating from a single critical point for ordinary differential equations dependingon a parameter are given. 相似文献
11.
1.IntroductionLetfibeaboundeddomaininRwithn23andoffbesufficientlysmooth.WeareconcernedwiththesemilinearellipticequationofhigherordersinvolvingcriticalSobolevexpelwhere,andthroughoutthispaper,gistheunitoutwardnormaltooff,25Zm相似文献
12.
YUANBaoquan 《系统科学与复杂性》2005,18(2):277-284
In this paper we discuss the logarithmic Sobolev inequalities in Besov spaces,and show their applications to the blow-up criterion of smooth solutions to the incompressible magneto-hydrodynamics equations. 相似文献
13.
ZHOU Jin 《系统科学与复杂性》1999,(2)
1.IntroductionConsiderthefollowinggeneralizedLi6nardtypeequationwhereshallowing[1],thisequationwillbecalledasaLi6nard-typeequationofordern.Whenn=1,theequation(1.1)canbewrittenasthefollowingformClearly)whenfi(x)=j(x),f200=0,theequation(1.3)isreducedtothewellknownLi6nardequationx j(x)x g(x)=0.(1.4)Recently,theequation(1.3)hasalreadybeenstudiedwithparticularemphasisontheex-istenceanduniquenessofperiodicsolutionsbyseveralauthors.Forexample,needmanandKuangll],GuidorizzilZ],ZhouJinI3],andJiangJ… 相似文献
14.
A PRIOR ESTIMATE AND EXISTENCE OF POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH THE THIRD BOUNDARY VALUE PROBLEM 总被引:2,自引:0,他引:2
GU Yonggeng 《系统科学与复杂性》2001,(4)
1 IntroductionLet n be a bounded open domain with boundary aa, n c R", N 3 2. We consider a priorestimate and ekistence of positive solution of the fOllowing equationsWhere operatorL conforms to the Sum Ru1es, that is: for a repeated i or j, it mean to sum them up from 1 toN, ai;(x), ai(x), a(x) are bounded measurable in a. FOr operator L, we alWays assume: thereealst positive constants po and U1) such thatf(u) is a nonlinear function which grows in the form of Up with p 2 1, n is the out… 相似文献