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

Authors

  • B.V. K. Bharadwaj Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Prasanthinilayam 515134
  • Pallav Kumar Baruah Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Prasanthinilayam 515134

DOI:

https://doi.org/10.26713/cma.v6i2.289

Keywords:

Nonlinear coupled ordinary differential equations, Fixed-point theorem, Non-oscillation

Abstract

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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References

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Published

25-12-2015
CITATION

How to Cite

Bharadwaj, B. K., & Baruah, P. K. (2015). Existence of a Non-Oscillating solution for a Second Order Nonlinear ODE. Communications in Mathematics and Applications, 6(2), 41–47. https://doi.org/10.26713/cma.v6i2.289

Issue

Vol. 6 No. 2 (2015)

Section

Research Article

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