[PDF] Top 20 Existence of solutions to fourth-order differential equations with deviating arguments

... The plan of this paper is as follows: In Section , we state some definitions and lemmas which are needed to prove the main results. In Section , we show that in the presence of a pair of upper and lower solutions ... See full document

... differential equations with delays have proven more realistic in the description of natural phenomena than those without ...these equations has drawn much attention (see ... See full document

... global existence and boundedness of solutions for a certain nonlinear integro-differential equation of second order with multiple constant ...global existence and boundedness of ... See full document

... Boundary value problems with integral boundary conditions arise naturally in thermal conduction problems [], semiconductor problems [], hydrodynamic problems [], ther- mostat problems [] and so on. It is interesting ... See full document

... Second order differential equations with p-Laplacian arise naturally in non-Newtonian mechanics, nonlinear elasticity, glaciology, population biology, combustion theory, and nonlinear flow laws; see [, ... See full document

... the existence of positive solutions for the above problem by using transformation technique and Krasnosel’skii’s fixed point ...the deviating arguments are delayed and ...differential ... See full document

... the existence of multiple positive solutions for differential equations has been studied extensively; for details, see, for example, ...itive solutions have been done under the assumption that ... See full document

... the existence of periodic solutions of delay differential equations are usually obtained by the technique of bifurcation, by fixed- point theorems or by coincidence degree ... See full document

... differential equations are a class of important models which describe many evo- lution processes that abruptly change their state at a certain ...differential equations has become an active area of ... See full document

... erential equations with deviated arguments arise in a variety of areas of biologi- cal, physical, and engineering applications, see, for example, [9, Chapter ...approximate solutions of nonlinear ... See full document

... Differential equations with distributed deviating arguments are often used for model- ing various problems arising in the engineering and natural ...of solutions to such equations is ... See full document

... differential equations have a great number of applications in electric ...of solutions to different classes of neutral differential equations, we refer the reader to [–] and the references cited ... See full document

... all solutions to a third-order differential equation with nonpositive neutral coefficients and distributed deviating arguments are either oscillatory or converge to zero ... See full document

... Onose, Asymptotic behavior of nonoscillatory solutions of functional differential equations of arbitrary order, J.. Onose, Nonoscillation theorems for differential equations with deviati[r] ... See full document

... first order delay equations and technique of Riccati transformation, we obtain a two different conditions ensure oscilla- tion of solutions of this equation, which extend and improve results of ... See full document

... Differential equations with delayed and advanced arguments (also called mixed differential equations or equations with mixed arguments) occur in many problems of economy, ... See full document

... differential equations are topological methods as fixed point theorems, monotone iterations, upper and lower solu- tions (see ...the existence of solutions of IBVPs using variational ... See full document

... Abstract. A system of first-order differential equations with linear constraint is studied. Existence theorems for the solution are proved under some conditions. Some uniqueness and dependence results ... See full document

... In this paper, we introduce new Lyapunov-type inequalities for fourth order linear di¤erential equations under the third-point and four-point boundary conditions. The result for four-point boundary ... See full document

... The existence of periodic solutions for the third-order differential equation ˙ x ¨ + ω 2 x ˙ = µF (x, x, ˙ x) ¨ is ...in order to reduce it to a second-order nonlinear differential ... See full document