International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1978 / Article

Open Access

Volume 1 |Article ID 637068 | https://doi.org/10.1155/S0161171278000307

Bhagat Singh, "Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays", International Journal of Mathematics and Mathematical Sciences, vol. 1, Article ID 637068, 15 pages, 1978. https://doi.org/10.1155/S0161171278000307

Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays

Received28 Mar 1978
Revised30 Jun 1978

Abstract

Necessary and sufficient conditions are found for all oscillatory solutions of the equation (rn1(t)(rn2(t)((r2(t)(r1(t)y(t))))))+a(t)h(y(g(t)))=b(t) to approach zero. Sufficient conditions are also given to ensure that all solutions of this equation are unbounded.

Copyright © 1978 Hindawi Publishing Corporation. 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.


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