[PDF] Top 20 An oscillation criterion in \(4{th}\) order neutral differential equations with a continuously distributed delay

... differential equations have been studied by several authors, and several techniques have been proposed for obtaining oscillatory criteria for higher- and fourth-order differential ... See full document

... the oscillation theory has been devoted to the os- cillatory and asymptotic properties of the third-order differential equations (see ...nonlinear differential equation ... See full document

... Furthermore, Elabbasy and Moaaz [31], and Wang et al. [32] examined a TODE with DDA under the assumption 0 ≤ p(t) ≤ P < 1. However, the obtained oscillation theorems cannot be applied when p(t) ≥ 1. Then Tunç ... See full document

... This paper is organized as follows. In Sect. 2, we recall some basic concepts and some preliminaries briefly. In Sect. 3, we focus on the study of sufficient conditions for the ex- istence of nonoscillatory solutions to the ... 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 ...new ... See full document

... dynamic equations on time scales, or mea- sure chains, and we refer the reader to the landmark paper of Hilger [] for a comprehen- sive treatment of the ...the oscillation and non-oscillation of ... See full document

... of neutral delay differential equations presents com- plications and the results which are true for neutral differential equations may not be true for nonneutral differential ...of ... See full document

... differential equations is of impor- tance both in theory and ...of neutral differential equations have a number of practical applications in the study of distributed networks containing lossless ... See full document

... differential equations find numerous applications in natural science and ...of distributed networks containing lossless transmission lines; see Hale ...of neutral delay differential ... See full document

... the oscillation of the third-order nonlinear neutral differential equations with damping and distributed ...The oscillation of the third-order damped equations is ... See full document

... the oscillation of fourth- and higher-order differential equations have been widely studied by many authors, who have provided many techniques for obtaining oscillatory criteria for fourth- and ... See full document

... 19. McKenna, P.J., Walter, W.: Travelling waves in a suspension bridge. SIAM J. Appl. Math. 50(3), 703–715 (1990) 20. O ˇguztöreli, M.N., Stein, R.B.: An analysis of oscillations in neuro-muscular systems. J. Math. Biol. ... See full document

... is continuously differen- tiable for t ∈ R + , and y(t) satisfies (E) for all sufficiently large t ≥ 0, where ρ = max{τ , σ} and PC R + , R is the set of all functions U : R + → R which are continuous for t ∈ R + ... See full document

... By employing a generalized Riccati transformation and integral averaging technique, two Philos-type criteria are obtained which ensure that every solution of a class of third-order neutral differential ... See full document

... and KUSANO, T., Oscillation theory of higher order linear functional differential equations of neutral type, Hiroshima Math.. and ZHANG, B.G., Oscillation Theory of Differential Equation[r] ... See full document

... Abstract. In this work, we consider the existence of nonoscillatory solutions of second order nonlinear neutral differential equations. Our results include as special cases some well-known ... See full document

... ON OSCILLATION CRITERIA FOR LINEAR AND NON-LINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS’’ contains four chapters it is meant to study the basic concept and various interesting result on ... See full document

... Hence, a great amount of work has been done over the last three decades on the os- cillation theory of third-order differential equations with variable coefficients. The most significant results published up to ... See full document

... x(t) + αx(t − τ) + βx(t + τ) (n) = δq(t)x(t − g ) + δ p(t)x(t + h) = 0, (3.12) which was studied by Agarwal and Grace [3]. One can easily see that the oscillation crite- ria established in [3] can be recovered ... See full document

... of oscillation theory for solution of half linear neutral differential equations has been recently considered the attention of many researches for the last several years, see ...linear ... See full document