[PDF] Top 20 Application of the shooting method to second-order multi-point integral boundary-value problems

... so we transform the integral problem into a single-point problem by using the integral mean value theorem. The other difficulty is that we cannot obtain the existence results by constructing two ... See full document

... However, Theorem . and some proofs in [] need to be corrected, which is one of the reasons why we write this paper. Furthermore, more general existence criteria are pre- sented in this article as well as the ... See full document

... has been studied by many authors from the pioneering work of Picard 1, who proved the existence of a solution by an application of the well-known method of successive approxi- mations under a Lipschitz ... See full document

... nonlocal integral bound- ary value problems is excellent, and the relevant methods are developed to be ...fixed point theorems in cones, the method of upper and lower solutions, the ... See full document

... the boundary value problem ...The method we use is based on some recent fixed point theorems derived by Sun and Liu [, ], which are different from [] and the results we obtain are different ... See full document

... the multi-point boundary value prob- lems for linear and nonlinear ordinary differential equations by using various methods, such as Leray-Schauder fixed point theorem, coincidence degree ... See full document

... the method of upper and lower solutions and a fixed point theorem, we achieve some interesting results which are the generalizations of some corresponding results in the ... See full document

... Abstract: Integral Representation Method (IRM) is one of convenient methods to solve Initial and Boundary Value Problems ...Generalized Integral Representation Method ... See full document

... The purpose of the article is to establish some new criteria for the existence of positive solutions to the problem (1.1). The nonlinear term f may take negative values and the nonlinearity may be sign-changing. Firstly, ... See full document

... tau method is similar to Galerkin methods in the way that the differential equation is ...the boundary conditions (see, ...The second step is to obtain a system of algebraic equations from ... See full document

... the method of upper and lower solutions 1–7 manifests itself as an effective and flexible mechanism that offers theoretical as well as constructive existence results in a closed set, generated by the lower and upper ... See full document

... nonhomogeneous boundary value problem- s have been studied by some authors, see ...geneous boundary value problems of second-order ordinary differential ...considered ... See full document

... Many problems in applied sciences and engineering are modeled as fuzzy differ- ential equations (FDE) that are subject to fuzzy initial or boundary conditions, see O’Regan and Lakshmikantham ... See full document

... of multi–point boundary value prob- lems for linear second-order ordinary differential ...nonlinear multi–point boundary value problems have ... See full document

... ary value problems), for example ...fixed point theorems on cones, the lower and upper so- lution method, the critical point theory and monotone ... See full document

... By using bifurcation techniques, this paper investigates the existence of nodal solutions for a class of fourth-order m-point boundary value problems. Our results improve those in the ... See full document

... an application we consider the existence and multiplicity of positive solutions of singular systems of multi-point boundary value problems, which improve the results in the ... See full document

... The method of generalized quasilinearization for second-order boundary value prob- lems has been extended when the forcing function is the sum of 2-hyperconvex and 2-hyperconcave ...the ... See full document

... Boundary value problem involves ordinary differential equation with non local condition appears in physi- cal science and applied ...of boundary value problems with integral ... See full document

... Definition . A function f : T → R is rd-continuous (rd-continuous is short for right- dense continuous) provided it is continuous at each right-dense point in T and has a left- sided limit at each left-dense ... See full document