[PDF] Top 20 Bifurcation and positive solutions of a nonlinear fourth order dynamic boundary value problem on time scales

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

... is positive near 0. It follows that we consider the fourth-order two- point boundary value problem x″″ + kx″ + lx = f ( t,x ), 0 < t < 1, x ( 0 ) = x (1) = x′ (0) = x′ (1) ... See full document

... Let T be a closed nonempty subset of R. In the light of some of the current literature, T is called a time scale or measure chain. The following definitions and preliminary notions, which can be found in 1–3, lay ... See full document

... However, to the best of the authors’ knowledge, up to now, there are few articles concerned with the existence of m-point boundary value problem with p-Laplacian on time scales. So, in ... See full document

... multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are ... See full document

... the nonlinear term does not depend on the first-order derivative, the existence problems of positive solutions of boundary value problems have attracted much attention, see 10, ... See full document

... of dynamic equations on time scales has been studied by many mathematicians since it not only provides a unifying structure of differential and difference equations, but also it has led to many ... See full document

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

... of dynamic equations on time scales has been a new important mathematical branch [–] since it was initiated by Hilger ...same time, the boundary value problems of impulsive ... See full document

... right-focal boundary value problems, in this paper we will study an nth-order n-point right-focal boundary problem on time ...for positive solutions to the ... See full document

... By using Bai and Ge’s fixed point theorem [], we get the existence of at least three sym- metric positive solutions for the BVP (.). In fact, our results are new when T = R (the differential case) and T = ... See full document

... nontrivial solutions for a non-positive fourth-order two-point boundary value problem (BVP) and the existence of positive solutions for a semipositive ... 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

... of positive solutions for nonlinear fourth-order multipoint boundary value problems has been studied by many authors using nonlinear alternatives of Leray-Schauder, ... See full document

... of positive solutions for a class of second-order multi-point boundary value problem with p-Laplacian on time ...for positive solutions of the ... See full document

... This paper is organized as follows. In Section 2, we present some preliminary results concerning the time scales calculus and Sobolev’s spaces on time scales. In Section 3, we construct a ... See full document

... multiple positive solutions for boundary value problems recent ...the problem for ordinary differential equations, while others have studied the problem for difference equations, ... See full document

... of dynamic equations on time ...of dynamic equations not only includes the majority of the existing analytical results on both differential equations and difference equations with uniform ... See full document

... multiple positive solutions to nonlinear third-order boundary value problems with inte- gral boundary conditions on time ... See full document

... f (t, x) ≥ c(t)x, (t, x) ∈ [, ] × [, ∞). (.) It is the purpose of this paper to study the existence of positive solutions of (.) un- der conditions (A), (H), (H) and (H). The main tool we use is ... See full document