[PDF] Top 20 Multiple Positive Solutions for a Class of Point Boundary Value Problems on Time Scales

... of positive solutions to boundary value problems for differential equations on time scales; see, for example, 1– ...that boundary value problems on ... See full document

... a class of nonlinear third-order boundary value problems with integral boundary conditions on time ...fixed point theorem, we establish the existence of at least three ... See full document

... a time scale an arbitrary nonempty closed subset of the real numbers ...on time scales, one can refer to 1–3, ...triple positive solutions to the following m-point ... See full document

... particular time scales ( T = R or T = Z ), there are few papers dealing with multi-point boundary value problems more than three-point for first-order systems on ... See full document

... p-Laplacian problems with two-, three-, m-point boundary conditions for ordinary differential equations and finite difference equations have been studied extensively, for example see 1–4 and references ... See full document

... Multipoint boundary value problems BVPs arise in different areas of applied mathematics and ...Multipoint boundary value problem 1. Many problems in the theory of elastic ... See full document

... smooth positive solutions to the second-order singular m-point boundary value problem ...smooth positive solutions is given by constructing lower and upper ... See full document

... of positive solutions for nonlinear singular boundary value problems has been obtained 5, ...p-Laplacian problems with two-, three-, and m-point boundary conditions ... See full document

... This paper is organized as follows. In Section , we provide some necessary background about time scales, the theory of cones in Banach space and some preliminary lemmas. We give and prove our main results ... See full document

... for all t Î T. If s(t) >t, t is said to be right scattered, and if s(t) = t, t is said to be right dense. If r(t) <t, t is said to be left scattered, and if r(t) = t, t is said to be left dense. A function f is ... See full document

... Boundary value problem (BVP) for ordinary differential equations arise in different areas of applied mathematics and physics and so on, the existence and multiplicity of positive solutions for ... See full document

... given in the proof of Theorem 3.2. To show that T has a fixed point, consider equation (3.27). Define an open, bounded subset of the Banach space S by Ω = { y ∈ S : y < ME + N + 1 } , where here · is the sup ... See full document

... of positive solutions to prob- lem ...fixed point theorem. For some recent results on the existence of positive solutions for p-Laplacian dynamic equations on time scales, ... See full document

... fixed point theorems of cone expansion and compression of functional type due to Avery, Henderson and O’Regan’s [2], which generalized the functional compression fixed point theorems of Anderson-Avery [1] ... See full document

... Our problem is a dynamic analog of the BVPs 1.1 and 1.2. But it is more general than them. Moreover, conditions for the existence of at least one positive solution were studied for the BVPs 1.1 and 1.2. In this ... See full document

... a time scale, ,  ∈ T , [, ] T = [, ] ∩ T , φ : R → R is an increasing homeo- morphism and positive homomorphism with φ() = ...and positive homomorphism if the following conditions are ... See full document

... “Positive solutions of singular p-Laplacian BVPs with sign changing nonlinearity on time scales,” Mathematical and Computer Modelling, ...of positive solutions for a generalized ... See full document

... of positive solutions were ...fractional boundary value problems [4, 5, 9, 17, 21, 22, 24, ...of positive solution for the following fractional three-point ... 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

... multipoint positive solutions of BVPs on time ...multipoint boundary conditions on time scales, see [, , ...of positive solutions for multipoint BVP on ... See full document