1. MEAN-SQUARED APPROXIMATION OF COMPLEX FUNCTION BY FOURIER SERIES WITH ORTHOGONALSYSTEM IN THE WEIGHTED BERGMAN SPACE WITH JACOB’S WEIGHT
Author: MUQIM SAIDUSAINOV DOWNLOAD
DOI:
Abstract
One of the most important tasks in the theory of differential equations and systems of partial differential equations is to obtain and determine exact solutions. However, it is not always possible to find accurate solutions. In this article, we have tried to find some exact periodic solutions for the quasilinear equations of a system of electrical circuits. In order to obtain solutions in the nonlinear case, the method of elliptic decomposition of Jacobi functions was used [1]. A similar method has been used to obtain
exact periodic solutions of the Korteweg-de Vries and Klein-Gordon equations in [1-6]
Keywords
Jacobi elliptic functions, periodic solutions, electromagnetic elasticity, material equations, quasilinear system.