On the structure of characteristic surfaces related with partial differential equations of first and higher orders. Pt 2

• Published in: Нелінійні коливання
• Date: 2005
• Main Author: Prykarpatska, N.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178021
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the structure of characteristic surfaces related with partial differential equations of first and higher orders. Pt 2 / N.K. Prykarpatska // Нелінійні коливання. — 2005. — Т. 8, № 4. — С. 529-543. — Бібліогр.: 20 назв. — англ.

The generalized characteristics method is developed in the framework of the geometric Monge picture. The
 Hopf – Lax-type extremality solutions to a wide class of Cauchy problem for nonlinear partial differential equations of first and higher orders are derived. The special Hamilton – Jacobi...