Oscillations of Fourth Order Linear Neutral Delay Differential Equations

P.V.H.S Sai Kumar; K.V.V Seshagiri Rao

doi:https://doi.org/10.14445/22315373/IJMTT-V65I7P535

International Journal of Mathematics Trends and Technology

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Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P535 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P535

Oscillations of Fourth Order Linear Neutral Delay Differential Equations

P.V.H.S Sai Kumar, K.V.V Seshagiri Rao

Abstract

Sufficient conditions for oscillations of fourth order linear neutral delay differential equations of the form d/dt { r(t) d3/dt3(m(t)y(t)+∑n i=1 1/t(t-1)yα(t-ζ))} + f(t)yα(t-σ) = 0 , t >=t0 are obtained ,where , r(t), m(t) are positive real valued continuous functions f(t)>=0, and α is the ratio of odd positive integers and n is an integer

Keywords

Oscillation, Fourth order, Neutral Differential equation.

References

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Citation :

P.V.H.S Sai Kumar, K.V.V Seshagiri Rao, "Oscillations of Fourth Order Linear Neutral Delay Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 296-305, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P535