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Keywords:
periodic solution; nonlinear heat equation; bounded, vanishing and jumping nonlinearities; weak solution; singular case; solvability of Landesman-Lazer type; Schauder fixed point theorem; ordinary differential equation
periodic solution; nonlinear heat equation; bounded, vanishing and jumping nonlinearities; weak solution; singular case; solvability of Landesman-Lazer type; Schauder fixed point theorem; ordinary differential equation
Summary:
The paper deals with the existence of periodic solutions of the boundary value problem for nonlinear heat equation, where various types of nonlinearities are considered. The proofs are based on the investigation of Liapunov-Schmidt bifurcation system via Leray-Schauder degree theory.
References:
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