[PDF] Top 20 Fourth Order Four Point Boundary Value Problem: A Solutions Funnel Approach

... 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

... subject to the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ . In this setting, 0 < η < 1 and α ∈ [0, η 1 ) are constants and λ ∈ [0, +∞) is a parameter. By imposing a sufficient ... See full document

... Boundary value problems for second and higher order nonlinear differential equations play a very important role in both theory and ...a boundary value problem of some ... See full document

... positive solutions for the nonhomogeneous boundary value problem- s have been studied by some authors, see ...positive solutions of three-point nonhomo- geneous boundary ... See full document

... multi-point boundary value problems has received increas- ing ...multi-point boundary value problems of linear second-order ordinary dif- ferential equations was initiated ... See full document

... This paper is organized as follows. In Section , we discuss the relation of the critical point of functional and the solution to BVP (.). In Section , we show that satisfies the (PS)-condition. Based on ... See full document

... second order nonlinear boundary value ...the solutions of the second order nonlinear boundary value problem on the semi-infinite interval [, ... See full document

... The aim of our paper is to consider the more general framework of set-valued problems and to present three existence results for problem 1.1. Our results are obtained under several hypotheses concerning the ... See full document

... conditions y() = y() = y () = y () = , which can be used to model the deflection of elastic beams simply supported at the endpoints [–]. This explains the reason that the last two decades have witnessed an ... See full document

... three point bound- ary value problems for nonlinear ordinary differential equations have been studied by many authors ...third-order boundary value problems has gained much attention ... See full document

... positive solutions to the problem ...multi-point boundary value ...positive solutions for the pro- blem (1.1) is obtained by applying fixed-point index ... 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

... 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

... positive solutions for a sixth-order boundary value problem with three variable ...consider boundary value problem not only with three variable coefficients, but also ... See full document

... For other results on the existence and multiplicity of positive solutions and nodal solutions for boundary value problems of ordinary di ff erential equations based on bifurcation techniq[r] ... See full document

... In this article, we study a discrete fourth order boundary value problem. By making use of variational methods and critical point theory, we obtain some criteria for the ... See full document

... fixed point index theory, sufficient conditions are established for the uniqueness and existence results of positive solution for four-point boundary value problem of nonlinear ... 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

... study fourth-order boundary value problems by many ...fixed point theory 1, 3, 5–7, the method of upper and lower solutions 8, and critical point theory 9, 10 are widely ... See full document

... the fourth order four-point BVP defined by ...of solutions of that BVP by applying Krasnosclskii-Zabreiko fixed point theorem [19] instead of upper and lower solution ...fixed ... See full document