S. Panigrahi

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In this paper, the authors study oscillatory and asymptotic behavior of solutions of a class of nonlinear higher order neutral differential equations with positive and negative coefficients of the form (a(t)(b(t)(y(t)+ p(t)y(σ(t)))′)′)(n−2) +q(t)G(y(α(t)))−h(t)H(y(β(t))) = 0 (E) for n 3 , n is an odd integer, 0 p(t) p1 < 1 and −1 < p2 p(t) 0 . The results(More)
on an arbitrary time scale T ⊆ R with sup T = ∞ and n ≥ 2 an even integer. Whenever we write t ≥ t1 we mean t ∈ [t1,∞)∩T = [t1,∞)T. We will use the basic concepts and notation for the time scale calculus; we refer the reader to the monograph of Bohner and Peterson [3] for additional details. We shall assume that: (i) α and λ are ratio of positive odd(More)
In this paper, Oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral differential equations with positive and negative coefficients of the form (H) (r(t)(y(t) + p(t)y(t− τ))′′)′′ + q(t)G(y(t− α)) − h(t)H(y(t− β)) = 0 and (NH) (r(t)(y(t) + p(t)y(t− τ))′′)′′ + q(t)G(y(t− α)) − h(t)H(y(t− β)) = f(t) are studied under(More)
In this paper, oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral differential equations with several delay of the form (r(t)(y(t) + p(t)y(t− τ))′′)′′ + m ∑ i=1 qi(t)G(y(t− αi)) = 0 and (E) (r(t)(y(t) + p(t)y(t− τ))′′)′′ + m ∑ i=1 qi(t)G(y(t− αi)) = f(t) are studied under the assumption ∫ ∞ 0 t r(t) dt =∞ Accepted(More)
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