Oscillation and Nonoscillation of Fourth-order Nonlinear Neutral Differential Equations with "Maxima".

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 2

Abstract

In this paper, we study the oscillation and asymptotic properties of fourth-order nonlinear neutral dierential equations with \maxima" (r(t)(y(t) + p(t)y(h(t)))00)00 + q(t) max [(t);t] f(y(s)) = 0; t t0 0 (0.1) and R 1 t0 1 r(t)dt = 1;we establish necessary and sucient conditions for all solutions of the equation (0.1) to be oscillatory.These results extend some known results in the literature without \maxima". Examples are given to illustrate the main results.

Authors and Affiliations

R. Arul, M. Mani

Keywords

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  • EP ID EP651308
  • DOI 10.24297/jam.v9i2.7268
  • Views 157
  • Downloads 0

How To Cite

R. Arul, M. Mani (2014). Oscillation and Nonoscillation of Fourth-order Nonlinear Neutral Differential Equations with "Maxima".. JOURNAL OF ADVANCES IN MATHEMATICS, 9(2), 1931-1937. https://europub.co.uk/articles/-A-651308