[PDF] Top 20 Study of Stability Analysis for a Class of Fourth Order Boundary Value Problems

... has considered high order stiffly stable methods. Further information can be had from [7] and [8]. Special multistep methods based on numerical differentiation for solving the initial value problem have ... See full document

... to study discrete models in many fields such as computer science, economics, neural network, ecology, cy- bernetics, ...the study of the ex- istence and multiplicity of solutions for a discrete ... See full document

... for fourth order differential equations [1, 2, ...a class of fourth order semilinear elliptic equations due to Schaefer [7] to a more general fourth order semilinear ... See full document

... broader class of nonlinear boundary value problems in a general Banach ...the problems are called semipositone problems, which occur in chemical rector theory, combustion and ... See full document

... INTRODUCTION Fourth order boundary value problems arise in the study of the equilibrium of an.. elastic beam under an external load, e.g., see.[r] ... See full document

... the study of multi-point boundary value problems has received increas- ing ...The study of multi-point boundary value problems of linear second-order ... See full document

... We study the existence of positive solutions of the following fourth-order boundary value problem with integral boundary conditions, u 4 t f t, ut, u t, t ∈ 0, 1, u0 0 1 gsusds, ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...ary value problems for ... See full document

... of fourth-order two-point boundary value problems in de- scribing a large class of elastic deflection, there is a wide literature that deals with the existence and multiplicity ... See full document

... Sturm-Liouville problems have attracted extensive attention due to their intrinsic mathe- matical challenges and their applications in physics and ...Sturm-Liouville problems, also higher order ... See full document

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

... the study extremely ...for fourth-order boundary value problems of ...with fourth-order BVP is completely different from [, ...to study the existence of ... See full document

... of boundary value problems for a 2m-th order parabolic equation in H¨ older spaces for noncylindrical domains (of the same kind but which cannot include our domain) with a nonsmooth (in t) ... See full document

... nonlinear fourth-order ordinary differential ...nonlinear fourth- order di ff erential ...we study the existence of the positive solutions and the multiple positive solutions for singular ... See full document

... This paper is concerned with the global solvability of a class of fourth-order nonlinear boundary value problems that govern the deformation of an elastic beam which is acted upon by axi[r] ... See full document

... Motivated by 5, 10, in this paper we consider the existence and multiplicity of nodal solutions for BVP 1.1. The method used here is Rabinowitz’s global bifurcation theorem. To the best of our best knowledge, only 10 ... 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

... Behind the uniqueness results of this section is the role of continuous dependence of solutions on boundary conditions. This continuous dependence arises somewhat from applications of the Brouwer theorem on ... See full document

... Higher-order boundary value problems were discussed in many papers in recent years; for instance, see 1–22 and references ...the boundary conditions in the above-mentioned references ... See full document

... In this paper we investigate the existence of solutions to a kind of fourth-order impulsive differential equations with integral boundary value conditions. By employing the Schauder fixed point ... See full document