四阶非线性特征值问题正解的存在性

利用Krasnoselskii不动点定理,证明了边值问题y(4)(x)-λa(x)f(y(x))=0,O相似文献   

非线性特征值问题的正解

本文着重考察非线性特征值问题u"+λg(t)f(u)=0,0＜t＜1,u(0)=u(1)=0,在没有任何单调性条件下,运用不动点指数理论,得到了上述问题的正解,推广、改进了以往的工作.     

非线性特征值问题的正解

本文着重考察非线性特征值问题u"+λg(t)f(u)=0, 0相似文献   

关于非线性特征值问题的一个正解存在定理

本文利用锥上的Krasnosel‘ skii不动点定理考察了一类非线性特征值问题，获得了这个问题的一个正解存在定理。     

非线性特征值问题正解的全局分歧

讨论非线笥特征值问题正解的全局分歧,即关于方程ｕ＝Ｆ（λ,ｕ）的分歧,其中ｕ限制在锥上,Ｆ（λ,．）按由锥诱导的序为正;给出了分歧存在的必要和充分条件及分歧枝的全局结构,并将所得到的结论应用到一个半线性椭圆型方程组中去。     

三阶非线性特征值问题的无穷多个正解

借助于Krasnosel'skii锥拉伸与锥压缩不动点定理研究了一类非线性三阶特征值问题无穷多个正解的存在性.     

关于非线性特征值多点边值问题的四个正解的存在性

利用锥上的不动点定理,考察了一类非线性特征值问题u″(t)+λf(t,u(t))=0,0≤t≤1,u(0)=0,αu(η)=u(1)的多个正解的存在性,给出了四个正解存在的充分条件,这里0<η<1,α>0.     

非线性特征值问题正解的存在性

证明了四阶边值问题y(4) =λα( x) f ( y( x) ) ,　 0 0且充分小时正解的存在性 .其中 ,α:[0 ,1 ]→ R连续 ,f ( 0 ) >0 .本文的工具是L eray- Schauder不动点定理 [4] .     

二阶Nuemann特征值问题的正解

利用锥上的不动点定理证明了二阶Nuemann特征值问题-u″＋Mu=λa（t）f（u（t））m0≤t≤1 u′（0）=u′（1）=0是的正解存在性结果．     

一类非线性四阶特征值问题的正解

该文讨论了如下边值问题正解的存在性和多解性     

POSITIVE SOLUTIONS OF NONLINEAR FOURTH-ORDER SINGULAR BOUNDARY VALUE PROBLEMS

By constructing a special cone and using the fixed point theorem of cone expansion and compression,this paper investigates fourth-order singular boun- dary value problems with sublinear effect and presents some necessary and sufficient conditions for existence of C~2 or C~3 positive solutions.Further,some examples are given concerning the applications of our main results.     

MULTIPLE POSITIVE SOLUTIONS FOR A FOURTH-ORDER NONLINEAR EIGENVALUE PROBLEM

In this paper, by using the Guo-Krasnoselskii’s fixed-point theorem, we establish the existence and multiplicity of positive solutions for a fourth-order nonlinear eigenvalue problem. The corresponding examples are also included to demonstrate the results we obtained.     

POSITIVE SOLUTIONS OF FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEMS

1IntroductionInthispaper,weconsidertheexistenceofpositivesolutionsoftheequationwithoneofthefollowingsetsofboundaryvalueconditionsWhenthefunctionf(x,y)p)inequation(l.1)isoftheformf(x,y,p)Hy,theboundaryvalueproblem(l.1)-(1.2)describesthedeformationsofanelasticbeambothofwhoseendssimplysupportedat0and1,andtheboundaryvalueproblem(1.l)-(l.3)describesanelasticbeamwithoneofitsendsimplysupportedandtheotherendclampedbyslidingclamps.In[11,Aftabizadehshowedtheexistenceofasolutionto(l.l)-(l.2)undertherest…     

四阶边值问题正解的存在性与多解性

本文讨论了非线性四阶边值问题u^(4)(t)=φ（t）f(u(t),u“(t),t∈(0,1),u(0)=u(1)=u“(0) =u“(1)=0正确的存在性，其中φ（t)∈C([0,1],[0,∞)),f(u,v)∈C（[0,∞],[0,∞))。利用锥压缩与锥拉伸不动点定理，给出了该问题正解存在与多个正解存在的充分条件。     

POSITIVE SOLUTIONS TO FOURTH-ORDER THREE-POINT NONLINEAR EIGENVALUE PROBLEM

In this paper, we investigate a fourth-order three-point nonlinear eigenvalue problem. By the Krasnosel'skii's fixed-point theorem in cone, some new results on the existence of positive solutions are obtained.     

ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS

We study the smooth LU decomposition of a given analytic functional A-matrix A（A） and its block-analogue. Sufficient conditions for the existence of such matrix decompositions are given, some differentiability about certain elements arising from them are proved, and several explicit expressions for derivatives of the specified elements are provided. By using these smooth LU decompositions, we propose two numerical methods for computing multiple nonlinear eigenvalues of A（A）, and establish their locally quadratic convergence properties. Several numerical examples are provided to show the feasibility and effectiveness of these new methods.     

A THEOREM OF TRIPLE POSITIVE SOLUTIONS FOR MULTI-POINT BOUNDARY VALUE PROBLEMS

In this paper we prove a new fixed point theorem in cones and then obtainthe existence of triple positive solutions for a class of multi-point boundaryvalue problem.