Charpit System of Partial Differential Equations with Algebraic Constraints

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Volume 13, Issue 2

Stefanovski Jovan , Trenčevski Kostadin & Covachev Valéry

J. Part. Diff. Eq., 13 (2000), pp. 151-162.

Published online: 2000-05

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Abstract

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.

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Charpit differential equations system of partial differential equations algebraic constraints

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@Article{JPDE-13-151, author = {Stefanovski Jovan , Trenčevski Kostadin and Covachev Valéry }, title = {Charpit System of Partial Differential Equations with Algebraic Constraints}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {2}, pages = {151--162}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5503.html} }

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.

Stefanovski Jovan , Trenčevski Kostadin and Covachev Valéry . (2000). Charpit System of Partial Differential Equations with Algebraic Constraints. Journal of Partial Differential Equations. 13 (2). 151-162. doi:

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