[PDF] Top 20 Multiple positive solutions for a fourth-order integral boundary value problem on time scales

... 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 ... See full document

... available integral operator and combining Krasnosel’skii-Zabreiko fixed point theorem with properties of Green’s function, this paper shows the existence of multiple positive solutions for a ... See full document

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

... Multipoint boundary value problem BVP arise in a variety of different areas of applied mathematics and physics, such as the vibrations of a guy wire of a uniform cross section and composed of N parts ... See full document

... In Section 2, we define an operator whose fixed points are solutions to 1.6 and state two fixed point theorems due to 12, 14. We also state and prove some lemmas that will be needed in order to prove our ... See full document

... where p : ( ρ (a), σ (b)) T → [0, ∞) and f : [ ρ (a), σ (b)] T → [0, ∞) are continuous; and q : ( ρ (a), σ (b)) T → (–∞, ∞) is Lebesgue ∇ -integrable. By constructing a special cone and using a fixed point theorem, we ... See full document

... a time scale which is a nonempty closed subset of ℝ with the topology and ordering inherited from ℝ, 0, and T are points in T , an interval [0, T] T := [0, T] ∩ T which has finite right-scattered points, p ∈ C([0, ... See full document

... In this article, we investigate the existence of at least three symmetric positive solutions of a second-order multi-point boundary value problem on time scales. ... 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

... same time, we notice that a class of boundary value problems with integral boundary conditions appeared in heat conduction, chemical engineering underground water flow, ... See full document

... of positive solutions to prob- lem ...of positive solutions for p-Laplacian dynamic equations on time scales, see ...for positive solutions of m-point ... See full document

... on time scales unifies existing results in differential and finite dif- ference equations, and provides powerful new tools for exploring connections between the traditionally separated ... See full document

... the positive solutions of a fourth-order boundary value problem in Banach ...two positive solutions to a fourth-order boundary ... See full document

... in time. The existence of a deviation delay in time is necessary in some situations, to avoid the unstable combustion in liquid rocket engine and to contribute in the conversion of the fuel mixture into the ... 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

... 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

... 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

... Krasnoselskii’s fixed point theorem, the existence of positive solutions was obtained. To the best knowledge of the authors, no work has been done for boundary value prob- lem (.) by applying ... See full document

... of multiple positive solutions for fourth-order impulsive differential equation with integral boundary conditions and deviating ... See full document

... The purpose of this paper is to establish some existence criteria of solution for BVP 1.8 which is a special case of 1.1. The paper is organized as follows. In Section 2, some basic time-scale definitions are ... See full document