FORCED DIFFUSION EQUATION WITH PIECEWISE CONTINUOUS TIME DELAY

Autor: M. Muminov, T. Radjabov
Rok vydání: 2021
Předmět:
Zdroj: Advances in Mathematics: Scientific Journal. 10:2269-2283
ISSN: 1857-8438
1857-8365
DOI: 10.37418/amsj.10.4.40
Popis: In this article, we study the boundary value problem (BVP) for forced diffusion equation with piecewise constant arguments. We give explicit formula for solving BVP. The problem of finding periodic solutions of some differential equations with piecewise constant arguments (DEPCA) is reduced to solving a system of algebraic equations. Using the method of finding periodic solutions of DEPCA, the solutions of BVP are given in several examples which are periodic in time.
Databáze: OpenAIRE