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

Bhagat Singh

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-15

Abstract:

Necessary and sufficient conditions are found for all oscillatory solutions of the equation ( r n − 1 ( t ) ( r n − 2 ( t ) ( − − − ( r 2 ( t ) ( r 1 ( 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.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:637068

DOI: 10.1155/S0161171278000307

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