Oscillation criteria for second order neutral differential equations with positive and negative coefficients

dc.contributor.author Panigrahi, Saroj
dc.contributor.author Basu, R.
dc.date.accessioned 2022-03-27T04:08:36Z
dc.date.available 2022-03-27T04:08:36Z
dc.date.issued 2014-01-01
dc.description.abstract In this paper oscillatory and asymptotic behavior of solutions of a class of nonlinear second order neutral differential equations with positive and negative coefficients of the form (r1(t)(x(t) + p1(t)x(τ(t)))′) ′+ r2(t)(x(t) + p2(t)x(σ(t)))′+p(t)G(x(α(t)))-q(t)H(x(β(t))) = 0 and (r1(t)(x(t) + p1(t)x(τ(t))) ′) ′+ r2(t)(x(t) + p2(t)x(σ(t))) ′+p(t)G(x(α(t)))-q(t)H(x(β(t))) = f(t) are studied for p1(t); p2(t) ∈ C([t0;∞);ℝ). Moreover, using Banach fixed point theorem, sufficient conditions are obtained for the existence of bounded positive solutions of the forced equation.
dc.identifier.citation Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis. v.21(3-4)
dc.identifier.issn 12013390
dc.identifier.uri https://dspace.uohyd.ac.in/handle/1/6490
dc.subject Asymptotic behaviour
dc.subject Neutral differential equations
dc.subject Oscillatory
dc.subject Positive and negative coefficients
dc.title Oscillation criteria for second order neutral differential equations with positive and negative coefficients
dc.type Journal. Article
dspace.entity.type
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