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- N. Parhi, S. Panigrahi
- Appl. Math. Lett.
- 2003

- SAROJ PANIGRAHI, RAKHEE BASU, WANTONG LI, QUAN HONGSHUN
- 2015

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)

- S. Panigrahi, P. Rami Reddy
- Computers & Mathematics with Applications
- 2011

- A. K. Tripathy, S. Panigrahi, R. Basu
- 2014

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)

- Saroj Panigrahi, Rakhee Basu
- 2012

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)

- S. Panigrahi
- 2009

In this paper, lower bounds for the spacing (b− a) of the zeros of the solutions and the zeros of the derivative of the solutions of third order differential equations of the form y + q(t)y + p(t)y = 0 (∗) are derived under the some assumptions on p and q. The concept of disfocality is introduced for third order differential equations (*). This helps to… (More)

- Saroj Panigrahi
- 2013

In this paper, Liapunov-type integral inequalities has been obtained for third order dynamic equations on time scales by using elementary analysis. A criterion for disconjugacy of third order dynamic equation is obtained in an interval [a, σ(b)].

- Saroj Panigrahi
- 2014

In this paper, we estimate Liapunov-type integral inequalities for a single, cycled, and coupled dynamic system of one-dimensional p-Laplacian problems with weight functions having stronger singularities.

In this paper, oscillatory and asymptotic properties of solutions of nonlinear second order neutral dynamic equations of the form ( r(t)(y(t)+ p(t)y(α(t)))Δ )Δ +q(t)G(y(β(t)))−h(t)H(y(γ(t))) = 0 and ( r(t)(y(t)+ p(t)y(α(t)))Δ )Δ +q(t)G(y(β(t)))−h(t)H(y(γ(t))) = f (t) are studied under assumptions

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