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Periodic Solutions of Second Order Superlinear Singular Dynamical Systems

Periodic Solutions of Second Order Superlinear Singular Dynamical Systems We study the existence of periodic solutions of second order superlinear dynamical systems with a singularity of repulsive type. The proof is based on a well-known fixed point theorem for completely continuous operators. We do not need to consider so-called strong force conditions. Recent results in the literature are generalized and significantly improved. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Periodic Solutions of Second Order Superlinear Singular Dynamical Systems

Acta Applicandae Mathematicae , Volume 111 (2) – Jul 4, 2009

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References (33)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-009-9539-9
Publisher site
See Article on Publisher Site

Abstract

We study the existence of periodic solutions of second order superlinear dynamical systems with a singularity of repulsive type. The proof is based on a well-known fixed point theorem for completely continuous operators. We do not need to consider so-called strong force conditions. Recent results in the literature are generalized and significantly improved.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jul 4, 2009

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