Generalized solutions of mixed problems for first-order partial functional differential equations

• Published in: Український математичний журнал
• Date: 2006
• Main Author: Czernous, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165156
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalized solutions of mixed problems for first-order partial functional differential equations / W. Czernous // Український математичний журнал. — 2006. — Т. 58, № 6. — С. 804–828. — Бібліогр.: 16 назв. — англ.

A theorem on the existence of solutions and their continuous dependence upon initial boundary conditions is proved. The method of bicharacteristics is used to transform the mixed problem into a system of integral functional equations of the Volterra type. The existence of solutions of this system is...