ON PROBLEMS FOR EIDELMAN TYPE EQUATIONS AND SYSTEM OF EQUATIONS-Reference-Cited by-同舟云学术

ON PROBLEMS FOR EIDELMAN TYPE EQUATIONS AND SYSTEM OF EQUATIONS

Published:2022 Issue:2 Volume:10 Page:213-228
ISSN:2309-4001
Container-title:Bukovinian Mathematical Journal
language:
Short-container-title:BMJ

Author:

Protsakh N.,Ivasiuk H.,Fratavchan T.

Abstract

The problems for Eidelman type equations and systems of equations are considered in this paper. They were the large part of scientific interests for Prof. Ivasyshen S.D. The results of investigations of Cauchy problem, initial-boundary and the inverse problems for this type of equations in bounded or unbounded domains are given. The results are represented as the estimates of the solutions, the integral representations of solutions, theorems of the existence, uniqueness and stability of solutions.

Publisher

Yuriy Fedkovych Chernivtsi National University

Subject

Computer Science Applications,History,Education

Reference24 articles.

1. [1] Balabushenko T.M. Properties of solutions of 2b- parabolic systems in domains unbounded with respect to the time variable. Math. Stud. 2002, 18 (1), 69–78.

2. [2] Balabushenko T.M. Estimates of the fundamental matrix of solutions of the Cauchy problem for 2b-parabolic systems in unbounded domains with respect to the time variable and their application. Herald of the National Lviv Polytechnic University. 411, Applied Mathematics. 2000, 6–11.

3. [3] Balabushenko T.M. On estimates in unbounded relative to time variable domains of the fundamental matrix of solutions of the Cauchy problem for 2b- parabolic systems. Math. Stud. 2002, 17 (2), 163–174.

4. [4] Balabushenko T.M., Ivasyshen S.D. On the properties of solutions of 2b-parabolic systems in domains unbounded by the time variable. Math. methods and phys.-mech. fields. 2002, 45 (4), 19 – 26.

5. [5] Balabushenko T.M., Ivasyshen S.D.Ñonstruction and evaluation of the fundamental matrices of solutions of the polynomial combination of 2b- elliptic systems generated by 2b-parabolic systems. Scien. bulletin of Chernivtsi University: Collection of scientific works. 160, Mathematics, Chernivtsi: Ruta, 2003, 5–10.