SOLVABILITY FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEMS AT RESONANCE

The paper deals a fractional functional boundary value problems with integral boundary conditions. Besed on the coincidence degree theory, some existence criteria of solutions at resonance are established.     

SOLVABILITY FOR m-POINT BOUNDARY VALUE PROBLEM AT RESONANCE WITH ONE-DIMENSIONAL p-LAPLACIAN

By using Mawhin's continuation theorem,the existence of solution for a class of m-point boundary value problem at resonance with one-dimensional p-Laplacian is obtained.An example is given to demonstrate the main result of the paper.     

THREE-POINT BOUNDARY VALUE PROBLEM FOR p-LAPLACIAN DIFFERENTIAL EQUATION AT RESONANCE

By topological degree theory,the three-point boundary value problem for p-Laplacian differential equation at resonance is studied. Some new results on the existence of solutions are obtained,which improve and extend some known ones in the previous literatures.     

SOLUTIONS TO A SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

This article deals with the following second-order multi-point boundary value problem x′′(t) = f(t,x(t),x′(t))+e(t),t ∈(0,1),x′(0)=(α_ix′(ξ_i) from i=1 to m,x(1)=(β_jx(ηj) from j=1 to n .Under the resonance conditions α_i from i=1 to m =1,β_j from j=1 to n=1,β_jηj from j=1 to n =1,by applying the coincidence degree theory,some existence results of the problem are established.The emphasis here is that the dimension of the linear operator is two.In this paper,we extend and improve some previously known results like the ones in the references.     

EXISTENCE FOR SECOND-ORDER FOUR-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

This paper is concerned with the existence of solutions for a second-order four-point boundary value problem at resonance. The main methods depend on the technique of the upper and lower solutions and the coincidence degree theory.     

SOLVABILITY OF A KIND p-LAPLACIAN BOUNDARY VALUE PROBLEMS AT RESONANCE

In this paper,we show the existence of at least one solution to a class of equation with p-Laplacian at resonance,using degree theory and analysis technique.We also improved some of the known results.     

共振条件下p-Laplace型方程多点边值问题的可解性

本文研究了共振条件下一类p-Laplace 型方程边值问题的可解性. 利用度理论, 得到至少存在一个解的充分条件, 并举例说明所得的结果是有效的.     

一类三点边值问题在共振条件下的可解性

本文在ｆ（ｔ,ｕ,ｐ）满足Ｎａｇｕｍｏ条件下,以Ｍａｗｈｉｎ连续定理为工具,得到三点边值问题ｘ”＝ｆ（ｔ,ｘ（ｔ）,ｘ’（ｔ）,ｔ∈「０,１」 ｘ（０）＝０,ｘ（１）＝ａｘ（η）的一个可解定理。     

SOLVABILITY OF A THREE-POINT BOUNDARY VALUE PROBLEM WITH NONLINEAR GROWTH

In this paper, we study the existence of solutions to a three-point boundary value problem with nonlinear growth. Sufficient conditions for the existence of solutions to the system in the resonance and non-resonance cases are established by employing Leray-Schauder continuation theorem and the coincidence degree theory.     

广义Lienard方程边值问题

By coincidence degree,the existence of solution to the boundary value problem of a generalized Liénard equation a(t)x＂+F(x,x′)x′+g(x)=e(t),x(0)=x(2π),x′(0)=x′(2π)is proved,where a∈C1[0,2π],a(t)>0(0≤t≤2π),a(0)=a(2π),F(x,y)=f(x)+α| y|β,α>0,β>0 are all constants,f∈C(R,R),e∈C[0,2π]. An example is given as an application.     

ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY OPERATOR OF A FRACTIONAL ORDER

This paper is concerned with the solvability of a boundary value problem for a nonhomogeneous biharmonic equation. The boundary data is determined by a differential operator of fractional order in the Riemann-Liouville sense. The considered problem is a generalization of the known Dirichlet and Neumann problems.     

具共振条件下二阶m点边值问题解的存在性

本文利用重合连续定理研究了具共振条件下二阶m点边值问题解的存在性,首先获得了一个一般性存在性定理,然后利用自治曲率界集概念给出了这类边值问题存在的一些简明条件。     

TWO-POINT BOUNDARY VALUE PROBLEM FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS

In this paper, we apply a critical point theorem and obtain the condition for the existence of three solutions to two-point boundary value problem of a second order nonlinear difference equation.     

MULTIPLICITY RESULTS FOR THE TWO-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE

In this article several existence theorems on multiple solutions for the two-point boundary value problem with resonance at both infinity and zero are proved.     

SOLVABILITY OF m-POINT SINGULAR BOUNDARY VALUE PROBLEMS

1IntroductionInthisarticletheexistentresultsforthesecond-orderdifferentia1equationI,x=q(t)f(t,x(t),x'(t)) c(t),tE(O,1)(1.1)subjecttooneofthefollowingboundaryvalueconditions:arepresented,whereqEC(o,1),ff[o,1]xR2-Risacontinuousfunctionandc:[O,l1-RisafunctioninL'(o,1),crf6RWithallofthecrishavingthesamesign,(f6(o,l),i=1,2,...,m-2,o<(l<(2<..-相似文献   

EXISTENCE AND UNIQUENESS OF SOLUTION FOR FOURTH-ORDER NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEM

In this paper, by using Leray-Schauder degree theory, we establish the existence and uniqueness theorems for a kind of fourth-order nonlinear two-point boundary value problem.     

ON THE SOLVABILITY OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS

Sufficient conditions are established for the solvability of the boundary value problem where p : C(I; R ⁿ) × C(I; R ⁿ) L(I; R ⁿ), q : C(I; R ⁿ) L(I; R ⁿ), l : C(I, R ⁿ) × C(I; R ⁿ) R ⁿ, and c _n : C(I, R ⁿ) R ⁿ are continuous operators, and p(x, ) and l(x, ) are linear operators for any fixed .     

非线性四阶两点边值问题的一个正解存在定理

本文利用锥压缩锥拉伸型的Krasnosel’skii不动点定理证明了非线性四阶两点边值问题的一个正解存在定理．     

EXISTENCE OF SOLUTIONS TO AN m-POINT BOUNDARY VALUE PROBLEM OF THIRD ORDER ODE’S AT RESONANCE

In this paper,we study an m-point boundary value problem of third order ODEs at resonance. We prove some existence results for the m-point boundary value problem at resonance by the coincidence degree theory of [8,9]. Our result is new. Meanwhile,an example is presented to demonstrate the main result.     

PERIODIC BOUNDARY VALUE PROBLEM FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

This paper investigates the periodic boundary value problems for a class of second order functional differential equations. The monotone iterative technique and the maximum principle are applied to obtain the existence of maximal and minimal solutions.