Existence of a Non-Oscillating solution for a Second Order Nonlinear ODE

In this paper we have considered the following nonlinear ordinary differential equation. $$y''(x) + F(x, y(x)) = 0\tag{0.1}$$ where $F(t,x(t))$ is real valued function on $[0,\infty) \times R$, $x\geq 0$. We have given sufficient conditions for the existence of a non oscillating solu...

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Veröffentlicht in:	Communications in Mathematics and Applications 2015-01, Vol.6 (2), p.41
Hauptverfasser:	B.V. K. Bharadwaj, Baruah, Pallav Kumar
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Sprache:	eng
Schlagworte:	Nonlinear differential equations
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description	In this paper we have considered the following nonlinear ordinary differential equation. $$y''(x) + F(x, y(x)) = 0\tag{0.1}$$ where $F(t,x(t))$ is real valued function on $[0,\infty) \times R$, $x\geq 0$. 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].
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title	Existence of a Non-Oscillating solution for a Second Order Nonlinear ODE
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