Papers by b v k bharadwaj
Communications in Mathematics and Applications, Dec 25, 2015
In this paper we have considered the following nonlinear ordinary differential equation. y (x) + ... more In this paper we have considered the following nonlinear ordinary differential equation. y (x) + F(x, y(x)) = 0 (0.1) where F(t, x(t)) is real valued function on [0, ∞) × R , x ≥ 0. We have given sufficient conditions for the existence of a non oscillating solution for equation (0.1). These conditions are generalized with respect to the nonlinear function F and are in the spirit of the classical result by Atkinson [1].
Journal of Mathematics and Computer Science, 2015
In this paper we have considered the following coupled system of nonlinear ordinary differential ... more In this paper we have considered the following coupled system of nonlinear ordinary differential equations. x n 1 1 (t)=f 1 (t,x 2 (t)) x n 2 2 (t)=f 2 (t,x 1 (t)) (1) where f 1 ,f 2 are real valued functions on [t 0 ,∞)×R, t≥t 0 >0. We have given sufficient conditions on the nonlinear functions f 1 ,f 2 , such that the solutions pair x 1 ,x 2 asymptotically behaves like a pair of real polynomials.
Journal of Nonlinear Sciences and Applications, 2010
This paper is dedicated to Bhagawan Sri Sathya Sai Baba.
Nonautonomous Dynamical Systems, 2021
We consider a system of ODEs of mixed order with derivative terms appearing in the non-linear fun... more We consider a system of ODEs of mixed order with derivative terms appearing in the non-linear function and show the existence of a solution which does not oscillate for such system. We applied the fixed point technique to show that under certain conditions there exists at least one solution to the system which is not only non-oscillating, but also asymptotically constant.
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Papers by b v k bharadwaj