Author： Gurevich Pavel
Publisher： Springer Publishing Company
ISSN： 1040-7294
Source： Journal of Dynamics and Differential Equations, Vol.23, Iss.4, 2011-12, pp. : 923-960
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We develop a framework for treating the long-term behavior of solutions for parabolic equations in multidimensional domains with discontinuous hysteresis. Bearing in mind the thermostat model, we concentrate in this paper on the prototype heat equation with hysteresis in the boundary condition. We provide an algorithm for constructing all periodic solutions with exactly two switchings on the period and study their stability. Coexistence of several periodic solutions with different stability properties is proved to be possible. A mechanism of appearance and disappearance of periodic solutions is investigated.
Related content
Periodic solutions for a class of nonlinear parabolic equations
Applicable Analysis, Vol. 92, Iss. 8, 2013-08 ,pp. :
Access to resources
Recommend
