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Oscillation of nonlinear fourth order mixed neutral differential equations

  • A. K. Tripathy EMAIL logo and B. Panda
From the journal Mathematica Slovaca

Abstract

In this paper, sufficient conditions are established for oscillation of a class of nonlinear fourth order mixed neutral differential equations of the form

1a(t)((y(t)+p(t)y(tτ)))α=q(t)f(y(tσ1))+r(t)g(y(t+σ2))

under the assumption

0(a(t))1αdt<

for various ranges of p(t), where α is the ratio of odd positive integers.


(Communicated by Jozef Džurina)


References

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Received: 2013-6-11
Accepted: 2014-3-18
Published Online: 2016-11-3
Published in Print: 2016-11-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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