On Forced Periodic Solutions of Superlinear Quasi-parabolic Problems
Date
1998-05-30
Authors
Boldrini, Jose Luiz
Crema, Janete
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the existence of periodic solutions for a class of quasi-parabolic equations involving the p-Laplacian (or any other nonlinear operators of similar class) perturbed by nonlinear terms and forced by rather irregular periodic in time excitations (including what we call abrupt changes). These equations may model problems for which, aside from the presence of the kind of nonlinear dissipation associated to the p-Laplacian, other nonlinear and not necessarily dissipative mechanisms occur. We look for boundedness conditions on these periodic excitations and nonlinear perturbations sufficient to guarantee the existence of periodic responses (solutions) of the same period.
Description
Keywords
Quasi-parabolic equations, Periodic solutions, p-Laplacian
Citation
Boldrini, J. L. & Crema, J. (1998). On forced periodic solutions of superlinear quasi-parabolic problems. <i>Electronic Journal of Differential Equations, 1998</i>(14), pp. 1-18.
Rights
Attribution 4.0 International