Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients

• Autorzy: Panigrahi S , Basu R.

Identyfikatory

DOI

10.1515/jaa-2015-0011

• Języki publikacji: EN

Abstrakty

EN

In this paper, the authors investigated oscillatory and asymptotic behavior of solutions of a class of nonlinear higher order neutral differential equations with positive and negative coefficients. The results in this paper generalize the results of Tripathy, Panigrahi and Basu [5]. We establish new conditions which guarantees that every solution either oscillatory or converges to zero. Moreover, using the Banach Fixed Point Theorem sufficient conditions are obtained for the existence of bounded positive solutions. Examples are considered to illustrate the main results.

Słowa kluczowe

EN

functional differential equations; neutral; nonlinear; oscillation; positive coefficients; negative coefficients

PL

funkcjonalne równania różniczkowe; drgania; współczynniki dodatnie; współczynniki ujemne

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2015
• Tom: Vol. 21, nr 2
• Strony: 109--121
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Panigrahi S

• School of Mathematics and Statistics, University of Hyderabad, Hyderabad-500 046, India

autor

Basu R.

• School of Mathematics and Statistics, University of Hyderabad, Hyderabad-500 046, India

Bibliografia

• [1] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equation with Application, Claredon Press, Oxford, 1991.
• [2] I. T. Kiguradze, On the oscillation of solutions of the equation d^m(u)/dt^m + a(t)um sign u = 0, Mat. Sb. 65 (1964), 172-187.
• [3] G. S. Ladde, V. Lakhsmikantham and B. G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.
• [4] N. Parhi and A. K. Tripathy, On oscillatory fourth order nonlinear neutral differential equations-ll, Math. Slovaca 55 (2005), 183-202.
• [5] A. K. Tripathy, S. Panigrahi and R. Basu, Oscillatory and asymptotic behavior of fourth order nonlinear neutral delay differential equations with positive and negative coeffiients, Fasc. Math. 52 (2014), 155-174.