Neutral Operator and Neutral Differential Equation

Jingli Ren, Zhibo Cheng and Stefan Siegmund

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: In this paper, we discuss the properties of the neutral operator (Ax)(t) = x(t) − cx(t − δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second‐order differential equations with the prescribed neutral operator.

Date: 2011
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https://doi.org/10.1155/2011/969276

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:969276

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