[PDF] Top 20 Asymptotic problems for fourth-order nonlinear differential equations

... We study vanishing at infinity solutions of a fourth-order nonlinear differential equation. We state sufficient and/or necessary conditions for the existence of the positive solution on the half-line [0, ... See full document

... lower order derivatives are involved in the nonlinear term expli- citly and the BCs are the m-point ...the problems studied in this paper are more general than ...for fourth-order ... See full document

... value problems to non- linear singular fourth-order differential equations, and provide sufficient conditions for the exis- tence and uniqueness of positive ...The nonlinear term ... See full document

... time asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative ...the problems decay to zero exponentially with ... See full document

... other asymptotic properties of solutions of neutral delay difference / differential / dynamic equations with positive and negative coefficients attracted a good bit of attention in the last several ... See full document

... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ... See full document

... Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin.. Singular boundary value problems, Bull.[r] ... See full document

... third order differential equations arise in the study of entropy-flow phe- nomenon, problems of hydrodynamics, three-layer beams and so forth, see the mono- graph [7] and the references cited ...and ... See full document

... 1. Introduction. In recent years, there have been many papers considering the im- pulsive differential equations, see, for example, [2, 3, 1, 4, 5] and the references cited in [3]. In this paper, our results extend ... See full document

... P., Integral type asymptotic conditions for the solvability of a periodic fourth order boundary value problem, in Differential Equations, ed.. Aftabizadeh, Ohio University to appear..[r] ... See full document

... and asymptotic behavior of solutions of difference ...difference equations, the study of higher-order equations, and in particular fourth-order equations (see, ...of ... See full document

... differential equations have been studied for more than  years since the seventeenth century after the concepts of differentiation and integration were formulated by Newton and ...differential equations, ... See full document

... In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential ... See full document

... the asymptotic stability and uniform boundedness of certain vector second-order nonlinear delay differential equations with a continuous deviating argument by using a Lyapunov function ... See full document

... In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fourth-order differential equations. The notions of classical and weak solutions are ... See full document

... ordinary differential equations called Differential transformation method (DTM) is addressed and used to approximate solutions for a well-known non-linear ...The differential transformation ... See full document

... Oscillation, Nonoscillation and Growth of Solutions of Nonlinear Functional Differential Equations of Arbitrary Order, J.. Asymptotic Properties of Solutions of Functional Differential E[r] ... See full document

... Goursat’s problems for non- linear hyperbolic equations, systems of nonlinear hyper- bolic equations and fourth-order linear hyperbolic equa- ... See full document

... Asymptotic Behavior of olutlons of Fourth Order Nonlinear Differential Equations, Proc.. An Oscillation Criterion for a Fourth Order Integrally Superllnear Differential Equation, Attl.[r] ... See full document

... The aim of this work is to study asymptotic properties of a class of fourth-order delay differential equations. Our results in this paper not only generalize some previous results, but also ... See full document