[PDF] Top 20 Existence and Uniqueness of Positive Solutions for Fourth Order Nonlinear Singular Sturm Liouville Problems

... value problems to non- linear singular fourth-order differential equations, and provide sufficient conditions for the exis- tence and uniqueness of positive ...The ... See full document

... the existence and uniqueness of smooth positive solutions to the second-order singular m-point boundary value problem ...the existence of smooth positive ... See full document

... the existence and multiplicity of positive solutions of fourth-order problem, for example, 8–10, and in particular the discrete problem with Lidstone boundary conditions ...the ... See full document

... where K C ∈ [0,1] , 0 < < a 1 , 0 < < η 1 , and λ is a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and ... See full document

... value problems for ordinary differential equations arises in dif- ferent areas of applied mathematics, physics and so ...The existence of positive solutions for boundary value problems ... See full document

... the existence and uniqueness of solutions for nonlinear boundary value ...value problems for fourth order nonlinear ordinary differential equations has extensively ... See full document

... type problems for Fucik ...spectrum. Nonlinear Anal. 26, 407-414 (1996) 5. Cong, F: Periodic solutions for second order differential ...Z: Positive solutions to a system of ... See full document

... the existence and uniqueness results for the solutions of the boundary value problem ...study positive, pseudo dead core, and dead core solutions of problem ...and positive ... See full document

... Fourth-order nonlinear differential equations have many applications such as balancing condition of an elastic beam which may be described by nonlinear fourth-order ordinary ... See full document

... necessary positive) and proceed to the existence of a nontrivial positive solution, two nontrivial positive solutions, and multiple nontrivial positive solu- ...the ... See full document

... the existence of multiple positive solutions for the above Sturm-Liouville boundary value problems for second order differential ...the existence of three ... See full document

... In this section, we deal with a special case of the problem (.). The method is just simi- lar to what we have done in Section , so we omit the proof of some main results of the section. Case F(t, x(t), x (t)) = f (t, ... See full document

... 0 on [0, 1], this method is not applicable to BVP (1.1). A few years later, Grossinho and Min- hós [18] developed Wong’s result and established the existence of a solution to the more general BVP (1.1) in the ... See full document

... value problems arise in several branches of physics as any physical differential equation will have ...them. Problems involving the wave equation, such as the determination of normal modes, are often stated ... See full document

... the existence of at least one positive solution for nonlinear fourth-order semipositone multi-point boundary value ...the nonlinear term f not only involve with the ... See full document

... Numerically, Greenberg and Marletta [1] released a software package, named SLEUTH (Sturm-Liouville Ei- genvalues using Theta Matrices), dealing with the com- putation of eigenvalues of ... See full document

... Obviously, BVP1.1 can be regarded as the special case of BVP1.2 with Bt β. Since the parameters Bt is variable, we cannot expect to transform directly BVP1.2 into an integral equation as in 16. We will apply the cone ... See full document

... The organization of this paper is as follows. After this introduction, in Section , we state the assumptions and some preliminary lemmas. By applying the monotone iterative technique, we discuss the existence of ... See full document

... proved existence and nonexistence of positive solutions via Guo-Krasnoselskii fixed-point theorem under some conditions which do not involve the eigenvalues of ... See full document

... We note that if θ ≥ n–p p– then h(s) is nonsingular at  and h ∈ C([, ], (, ∞ )). In this case, problem () can be studied using ideas in the proof of Theorem .. Hence, our focus is on the case when θ < n–p p– ... See full document