Periodic solutions to differential equations with a generalized p-Laplacian

Adam Lipowski; Bogdan Przeradzki; Katarzyna Szymańska-Dębowska

doi:10.3934/dcdsb.2014.19.2593

Article Contents

2014, Volume 19, Issue 8: 2593-2601. Doi: 10.3934/dcdsb.2014.19.2593

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Periodic solutions to differential equations with a generalized p-Laplacian

1.
Centre of Mathematics and Physics, Technical University of Łódź, 90-924 Łódź, ul. Wólczańska 215
2.
Institute of Mathematics, Technical University of Łódź, 90-924 Łódź, ul. Wólczańska 215

Received: September 30, 2013

Revised: January 31, 2014

Published: September 2014

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Abstract

The existence of a periodic solution to nonlinear ODEs with $\varphi$-Laplacian is proved under conditions on functions given in the equation (not on the unknown solutions). The results are applied to a relativistic pendulum equation in a general form.

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Mathematics Subject Classification: 34C25, 47H11.

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References

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