Displaying similar documents to “Continuous approximation of time-periodic solutions of a linear parabolic equation”

Periodic solutions of nonlinear differential systems by the method of averaging

Zhanyong Li, Qihuai Liu, Kelei Zhang (2020)

Applications of Mathematics

Similarity:

In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence...

Periodic and Almost Periodic Solutions of Integral Inclusions

Radosław Pietkun (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.

Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations

Alexander Fischer (2004)

Applications of Mathematics

Similarity:

The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions...