Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: positive and negative coefficients

Sortuj według:

Ogranicz wyniki do:

Oscillation criteria for higher order differential equations with positive and negative coefficients

Shoukaku Yutaka

Fasciculi Mathematici

2019

nr 62

121--140

A new sufficient conditions for the oscillation of all solutions of higher order neutral delay differential equations with positive and negative coefficients are given. Because, we did not find a paper which gave conditions to guarantee the existence of oscillatory solutions for those equations with positive and negative coefficients. The main distinguishing feature of results is oscillation theorems for all solutions of those homogeneous or nonhomogeneous neutral equations are derived. These oscillation criteria extend and improve the results given in the recent papers.

Oscillatory behavior of higher order nonlinear homogeneous neutral delay dynamic equations with positive and negative coefficients

Panigrahi S., Reddy P. R.

Journal of Applied Analysis

2018

Vol. 24, nr 2

139--154

In this paper, we derive some sufficient conditions for the oscillatory and asymptotic behavior of solutions of the higher order nonlinear neutral delay dynamic equation with positive and negative coefficients. The results of this paper extend and generalize the results of [S. Panigrahi and P. Rami Reddy, Oscillatory and asymptotic behavior of fourth order non-linear neutral delay dynamic equations, Dyn. Contin. Discrete Impuls. Syst. Ser. AMath. Anal. 20 (2013), 143-163] and [S. Panigrahi, J. R. Graef and P. Rami Reddy, Oscillation results for fourth order nonlinear neutral dynamic equations, Commun. Math. Anal. 15 (2013), 11-28]. Examples are included to illustrate the validation of the results.

Oscillatory and asymptotic behavior of fourth order nonlinear neutral delay differential equations with positive and negative coefficients

Tripathy A. K., Panigrahi S, Basu R

Fasciculi Mathematici

2014

Nr 52

155--174

In this paper, Oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral differential equations with positive and negative coefficients of the form (H) (r(t)(y(t) + p(t)y(t - τ))")" + q(t)G(y(t - α)) - h(t) H (y(t - β)) = 0 and (NH) (H) (r(t)(y(t) + p(t)y(t - τ))")" + q(t)G(y(t - α)) - h(t) H (y(t - β)) =f (t) are studied under the assumption ...[wzór] for various ranges of p(t). Using Schauder’s fixed point theorem, sufficient conditions are obtained for the existence of bounded positive solutions of (NH).

Oscillation of solutions of second order neutral differential equations with positive and negative coefficients

Shoukaku Y.

Journal of Applied Analysis

2009

Vol. 15, nr 2

281-298

In this paper we obtain oscillation criteria for solutions of homogeneous and nonhomogeneous cases of second order neutral differential equations with positive and negative coefficients. Our results improve and extend the results of Manojlović, Shoukaku, Tanigawa and Yoshida [6].