Abstract
In this work, necessary and sufficient conditions are obtained by
using Lebesque's Domi-
nated Convergence theorem for oscillation of solutions
of second-order delay differential equations of the form:
under the assumptions, when H is sublinear and superlinear.
Further, two
illustrating
examples are presented to show that feasibility and effectiveness of main
results. Also, an open problem is included.
How to cite this paper
Necessary and Sufficient Conditions for Oscillation of Nonlinear Second-Order Delay Differential Equations
Shyam Sundar Santra
Department of Mathematics, Sambalpur University, Sambalpur 768019, India
Corresponding author: Shyam Sundar Santra, Department of Mathematics, Sambalpur University, Sambalpur 768019, India
E-mail: shyam01.math@gmail.com
How to cite this paper: Santra, S.S. (2018) Necessary and Sufficient Conditions for Oscillation of Nonlinear Second-Order Delay Differential Equations. Journal of Applied Mathematics and Computation, 2(3), 100-106.
https://dx.doi.org/10.26855/jamc.2018.03.004