descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2000Publisher:Mathematical Institute, Tohoku UniversityJournal:Tohoku Mathematical Journal, volume 52 (issn: 0040-8735,

Authors: Fan, Meng; Wang, Ke;

doi: 10.2748/tmj/1178224657

Periodic solutions of convex neutral functional differential equations

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Abstract

In this paper, the authors study the existence of periodic solutions to neutral differential equations. It is proved that for convex neutral functional-differential equations of $D$-operator type with finite (or infinite) delay and hyperneutral functional-differential equations with finite delay the problem of the existence of periodic solutions is equivalent to the existence of bounded solutions.

Related Organizations

Northeast Normal University
China (People's Republic of)

Keywords

bounded solutions, bounded solution, Growth, boundedness, comparison of solutions to functional-differential equations, Convex neutral functional differential equation, convex neutral functional-differential equations, periodic solution, 34K40, periodic solutions, Neutral functional-differential equations, 34K13, Periodic solutions to ordinary differential equations, necessary and sufficient condition

1 Research products, page 1 of 1

Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations
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