Existence of nonoscillatory solutions for second-order nonlinear differential equations of neutral type

Shyam Sundar Sundar Santra
DOI 10.28919/afpt/3957

Abstract

In this work, we consider the existence of nonoscillatory solutions of second order nonlinear neutral differential equations. Our results include as special cases some well-known results for linear and nonlinear equations. We use the Lebesgue’s dominated convergence theorem and Banach contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions.
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How to Cite this Article

Shyam Sundar Sundar Santra, Existence of nonoscillatory solutions for second-order nonlinear differential equations of neutral type, Adv. Fixed Point Theory, 9 (2019), 69-79. https://doi.org/10.28919/afpt/3957

Copyright © 2019 Shyam Sundar Sundar Santra. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.