Using Mawhin's coincidence degree theory, we obtain some new continuation theorems which are designed to have as a natural application the study of the periodic problem for cyclic feedback type systems. We also discuss some examples of vector ordinary differential equations with a φ-Laplacian operator where our results can be applied. Our main contribution in this direction is to obtain a continuation theorem for the periodic problem associated with (φ(u'))' + λ k(t,u,u') = 0, under the only assumption that φ is a homeomorphism.

An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators

Feltrin, Guglielmo
;
Zanolin, Fabio
2017-01-01

Abstract

Using Mawhin's coincidence degree theory, we obtain some new continuation theorems which are designed to have as a natural application the study of the periodic problem for cyclic feedback type systems. We also discuss some examples of vector ordinary differential equations with a φ-Laplacian operator where our results can be applied. Our main contribution in this direction is to obtain a continuation theorem for the periodic problem associated with (φ(u'))' + λ k(t,u,u') = 0, under the only assumption that φ is a homeomorphism.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1149614
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