FOURTH_ORDER

作品数：110被引量：141H指数：6
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Spectrum of a class of fourth order left-definite differential operators被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2008年第1期51-56,共6页GAO Yun-lan SUN Jiong 
Supported by the National Natural Science Foundation of China(10561005);the Doctor's Discipline Fund of the Ministry of Education of China(20040126008)
The spectrum of a class of fourth order left-definite differential operators is studied. By using the theory of indefinite differential operators in Krein space and the relationship between left-definite and right-def...
关键词：left-definite differential operator right-definite differential operator Krein space spectrum eigenvalue. 
POSITIVE SOLUTIONS OF A FOURTH ORDER BOUNDARY VALUE PROBLEM被引量：3
《Applied Mathematics(A Journal of Chinese Universities)》2003年第2期138-142,共5页Ren LishunDept. of Math., Zhoukou Teachers College, Henan 466000,China. 
The existence of positive solutions of the nonlinear fourth order problemu (4)(x)=λa(x)f(u(x)), u(0)=u′(0)=u′(1)=u(1)=0is studied, where a:[0,1]→R may change sign, f(0)>0,λ>0 is sufficiently small. Our approa...
关键词：fourth-order boundary value problem positive solution Leray-Schauder fixed point theorem. 
SOLVABILITY OF THE FOURTH ORDER NONLINEAR SUBELLIPTIC EQUATIONS ON THE HEISENBERG GROUP
《Applied Mathematics(A Journal of Chinese Universities)》2003年第1期45-52,共8页Zhang JihuiSchool of Math.& Computer Science,Nanjing Normal Univ.,Nanjing 210097,China. Tianshui Teachers College, Tianshui 741000,China. 
theNationalNaturalScienceFoundationofChina (199710 68)andtheNSFofEducationCommitteeofJiangsuProvince .
In this paper,some existence results for the fourth order nonlinear subelliptic equations on the Heisenberg group are given by means of variational methods.
关键词：Heisenberg group nonlinear problem subelliptic equation variational method existence vector. 
EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR NONLINEAR EVOLUTION EQUATION OF FOURTH ORDER被引量：4
《Applied Mathematics(A Journal of Chinese Universities)》2001年第3期251-258,共8页Chen Xiangyingof Fundamental Courses,Zhengzhou Electric Power College,Zhengzhou 450004. 
the National Natural Science Foundation of China(1 0 0 71 0 74) and the Natural ScienceFoundation of Henan Provinc
The existence and uniqueness of classical global solutions and the nonexistence of global solutions to the first boundary value problem and the second boundary value problem for the equation u tt -a 1u xx -a ...
关键词：Nonlinear hyperbolic equation initial boundary value problem classical global soliton blow up. 
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