[PDF] Top 20 Oscillations of differential equations generated by several deviating arguments

... of equations (E) or (E ) has been the subject of many ...the arguments are nondecreasing, while a small number of these papers are con- cerned with the general case where the arguments are not ... See full document

... differential equations, which provide a natural description of observed evolu- tion processes, are regarded as important mathematical tools for better understanding of several real world problems in applied ... See full document

... last several years, an increasing attention has been given to the oscillation theory and asymptotic behavior of various classes of second-order and high-order differential equations and dynamic ... See full document

... differential equations, there are two techniques which are used to reduce the higher-order equations to the first-order Riccati equations (or inequal- ...dynamic equations on time scales; see, ... See full document

... asymptotic criteria for (.) have been reported in [, , ]. So far, there are few results dealing with the asymptotic properties of third-order differential equations with nonpos- itive coefficients; we refer ... See full document

... parabolic equations with impulsive effects under two different boundary ...functional differential inequalities, we established several sufficient ... See full document

... differential equations during the past decades; we refer the reader to [–] and the references cited ...review several related results that have motivated the work in this ... See full document

... Sufficient oscillation conditions involving lim sup and lim inf for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The ... See full document

... with several non-monotone arguments and nonnegative coefficients is studied, and some new oscillation criteria are ...improve several known criteria existing in the ... See full document

... A Necessary and Sufficient Condition for the Oscllation of an Fven Order Nonlinear Delay Differential Euatlon, Canad.. Impact of Delays on Oscillations in General Functional Eouations, H[r] ... See full document

... Moreover, in view of Theorem ., it is an interesting problem to investigate equation . with non-monotone arguments and derive sufficient oscillation conditions, involving lim sup as co[r] ... 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

... Tuncay Candan received his M.Sc and Ph.D degree in Applied Mathematics from the Department of Mathematics at Iowa State University, USA. He is currently a Professor of Mathematics at American University of the Middle ... 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

... Dynamic equations with deviating argument are deemed to be adequate in modeling of the countless processes in all areas of ...dynamic equations under consideration is the dependence of the evolution ... See full document

... Oscillatory property of second order nonlinear differential equations.. with deviating argument Kexue.[r] ... See full document

... Near an equilibrium we study the existence of asymptotically a.p. (almost periodic), asymptotically a.a. (almost automorphic), pseudo a.p., pseudo a.a., weighed pseudo a.p. and weighed pseudo a.a. solutions of Liénard ... See full document

... In this paper, new sufficient oscillation conditions for all solutions of (E) and (E ) have been established. These conditions have been derived using an iterative technique. As a result, the conditions in this paper ... See full document

... holds, from which, by the theorem on the inverse operator [, p.], it follows that the matrix is invertible, i.e., the boundary value problem () is correctly solvable. Further, the suggested general scheme of the ... See full document

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