Periodic solutions for a Liénard type p-Laplacian differential equation

Meng, Hua; Long, Fei

doi:10.1016/j.cam.2008.06.001

Journal of Computational and Applied Mathematics

2009

DOI: 10.1016/j.cam.2008.06.001

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Periodic solutions for a Liénard type p-Laplacian differential equation

Hua Meng

Fei Long

Abstract: a b s t r a c t By using topological degree theory and some analysis skill, we obtain sufficient conditions for the existence and uniqueness of periodic solutions for Liénard type p-Laplacian differential equation.

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Cited by 4 publications

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New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay

Eswari

Piramanantham

2019

Asian-European J. Math.

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In this paper, we propose a generalized [Formula: see text]-Laplacian Liénard type differential equation with a variable delay. By applying the Mawhin continuation theorem, we established a set of sufficient conditions on the existence of at least one periodic solution with period [Formula: see text]. It is significant that the growth degree with respect to the variables [Formula: see text] imposed on [Formula: see text] is allowed to be greater than [Formula: see text] and the growth degree with respect to the variables [Formula: see text] imposed on [Formula: see text] is allowed to be greater than [Formula: see text] so the result not only improves but also generalizes. Some examples are provided to illustrate the results.

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New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay

Eswari

Piramanantham

2019

Asian-European J. Math.

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Existence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation

2014

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Positive periodic solution of p-Laplacian Liénard type differential equation with singularity and deviating argument

Xin

Cheng

2016

Adv Differ Equ

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Periodic solutions for a Liénard type p-Laplacian differential equation

Abstract: a b s t r a c t By using topological degree theory and some analysis skill, we obtain sufficient conditions for the existence and uniqueness of periodic solutions for Liénard type p-Laplacian differential equation.

Cited by 4 publications

References 6 publications

New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay

New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay

Existence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation

Positive periodic solution of p-Laplacian Liénard type differential equation with singularity and deviating argument

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