Oscillation of second-order quasi-linear neutral functional dynamic equations with distributed deviating arguments

Li, Tongxing¹ ; Thandapani, Ethiraju²

¹ School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P. R. China;School of mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P. R. China
² Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, India

Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 3, p. 180-192.

Résumé

In this paper, some sufficient conditions for the oscillation of second-order nonlinear neutral functional dynamic equation

$( r(t) ( [x(t) + p(t)x[\tau (t)]]^\Delta)^\gamma )^\Delta +\int^b_a q(t; \xi)x^\gamma [g(t; \xi)]\Delta\xi= 0; t \in \mathbb{T}$

are established. An example is given to illustrate an application of our results.

Détail

DOI : 10.22436/jnsa.004.03.01

Classification : 34C10, 34K11
Keywords: Oscillation, Second-order nonlinear equation, Neutral dynamic equation, Distributed deviating arguments, Time scale.

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