TY - JOUR
T1 - Charpit System of Partial Differential Equations with Algebraic Constraints
AU - Stefanovski Jovan , Trenčevski Kostadin  & Covachev Valéry 
JO - Journal of Partial Differential Equations
VL - 2
SP - 151
EP - 162
PY - 2000
DA - 2000/05
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5503.html
KW - Charpit differential equations
KW - system of partial differential equations
KW - algebraic constraints
AB -  In this paper the Charpit system of partial differential equations with algebraic constraints is considered. So, first the compatibility conditions of a system of algebraic equations and also of the Charpit system of partial differential equations are separately considered. For the combined system of equations of both types sufficient conditions for the existence of a solution are found. They lead to an algorithm for reducing the combined system to a Charpit system of partial differential equations of dimension less than the initial system and without algebraic constraints. Moreover, it is proved that this system identically satisfies the compatibility conditions if so does the initial system.