[PDF] Top 20 Oscillations of differential equations with non monotone deviating arguments

... of equations (E) or (E ) has been studied ...the arguments are nondecreasing, while only a small fraction of these papers deal with the general case where the arguments are not necessarily ...view) ... See full document

... differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are ...differential equations of both delayed and advanced type are ... 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. ... See full document

... delay equations, ...Papadakis, Oscillations of higher-order retarded differential equations generated by the retarded arguments, Delay and Functional Differential ... 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

... El-Sayed and Gaafar [] established sufficient conditions for the existence and unique- ness of a solution to some nonlinear Riemann-Liouville fractional differential systems with constant delays. Also, they proved the ... 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

... We study oscillatory properties of a class of second-order nonlinear neutral functional differential equations with distributed deviating arguments. On the basis of less restrictive assumptions ... See full document

... Notation It is worth noting that the improvement of condition (.) to the correspond- ing condition (.) is significant, approximately %, if we compare the values on the left- side of these conditions. Also, the ... See full document

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

... difference equations with deviating arguments have been extensively studied; see, for example, papers [–] and the references cited ...the arguments are nondecreasing, while a small number of ... See full document

... The paper is organized as follows: In Section 2, we present some definitions and fundamental facts of fractional calculus theory. In Section 3, we will prove the uniqueness of solution for nonlinear IVP (1) by using ... 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 ...differential equations, for details ... See full document

... OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS.. GRACE Department of Mathematics P.[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

... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ... 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

... 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

... We treat the existence of monotonic iteration positive solutions to a third-order boundary value problem with advanced arguments and Stieltjes integral boundary conditions. In our work, the main tool is a ... See full document

... pointed out by Hale [], differential equations have applications in the natural sciences, engineering technology, and automatic control. In particular, equation (.) has numer- ous applications in continuum ... See full document