[PDF] Top 20 Positive solutions for a sixth-order boundary value problem with four parameters

... that boundary value problems for ordinary differential equations can be used to describe a large number of physical, biological and chemical ...years, boundary value problems for ... See full document

... u(0) = u(L) = u (0) = u (L) = u (4) (0) = u (4) (L) = 0, (1 : 2) where A, B, and C are some given real constants and f(x, u) is a continuous function on R 2 , is motivated by the study for stationary solutions 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 ... See full document

... Among the substantial number of works dealing with nonlinear differential equations we mention the boundary value problem (1.1) and (1.2). We emphasize that the nonlinear term f is involved with the ... See full document

... In [], Feng considered the problem (.) with impulsive effects and he obtained the ex- istence and multiplicity of positive solutions. The fundamental tool in this paper is Guo- Krasnosel’skii fixed ... See full document

... 21. Li, YK, Shu, J: Solvability of boundary value problems with Riemann-Stieltjes -integral conditions for second-order dynamic equations on time scales at resonance. Adv Diff Equ. 2011, 42 (2011). ... See full document

... Lemma 2.4 [5] (Krasnoselskii fixed point theorem) Let E be a real Banach space. K ⊂ E is a cone. Suppose γ α , are nonnegative continuous convex functions on K . ϕ is a nonnegative continuous concave function on K . ψ is ... See full document

... a problem in the ...of positive solutions of a fourth-order dynamic boundary value problem under different boundary value ... See full document

... existence of multiple positive solutions. In all the above-mentioned articles f is supposed to be nonnegative. When Φ(v) = v, Agarwal et al. [1] as well as Ge and Ren [4] discussed the existence of ... See full document

... a positive eigenvector. Moreover, if A + (∞) has no positive eigenvectors cor- responding to an eigenvalue greater than one, then there exists R  >  such ... See full document

... of positive solutions for a third-order differential equation with three-point boundary conditions and a positive ...of positive solutions for any given parameter, and we ... See full document

... In this paper, we present several new and more general results for the existence of triple positive solutions for problem (.) by using Leggett-Williams’ fixed point theorem. An- other contribution ... See full document

... The aim of our paper is to establish sufficient conditions for the existence of positive solutions for (), that is, for the singular BVP with the derivative dependence and non-local boundary ... See full document

... Compared with (.)-(.), the difficulty of this paper is that nonlinear term f depends on all the lower derivatives of u, which leads to complexities to prove the properties of the operator T , especially the ... See full document

... ]. Problem () with q(t)f (t, u(t), u (t)) = f ˜ (t, u(t)) has been studied in ...of positive solutions by the Krasnoselskii and Leggett-Williams fixed point ...of positive and nondecreasing ... See full document

... The rest of this paper is organized as follows, In Section 2, we present some definitions and back- ground results. For sake of convenience, we also state the fixed point theorems. In Section 3, we construct the Green’s ... See full document

... In this paper, we study the existence of at least two positive solutions associated with the BVP 1.1 by applying the fixed point theorems of cone expansion and compression of norm type if m ≥ 2 and the ... See full document

... lower solutions to the boundary value problem should exist, but constructs the specific form of the sym- metric upper and lower ...Liouville boundary value ... See full document

... In this section, we present the Avery-Peterson fixed point theorem and some lemmas. Theorem . ([]) Let P be a cone in a real Banach space E. Let γ and θ be nonnegative continuous convex functional on P. Let α be a ... See full document

... In recent years, boundary-value problems for second and higher order differential equations have been extensively studied. They are used to describe a large number of physical, biological, and ... See full document