An existence theorem for a general Goursat problem

DOI10.1016/0022-0396(69)90086-2zbMath0174.14601OpenAlexW2088929118MaRDI QIDQ2532489

Jan A. Persson

Publication date: 1969

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(69)90086-2

zbMATH Keywords

partial differential equations

Related Items (4)

Unnamed Item ⋮ A generalization of Caratheodory's existence theorems for ordinary differential equations ⋮ The hyperbolic Ernst equation in a triangular domain ⋮ Uniqueness and Goursat problems

Cites Work

• Unnamed Item
• Unnamed Item
• On an analogue of the Euler-Cauchy polygon method for the numerical solution of \(u_{xy}=f(x, y, u, u_x, u_y)\)
• Über die Differentialgleichung \(u_{xy}=f(x, y, u, u_x, u_y)\). II: Existenzsätze für das charakteristische Anfangswertproblem
• Sul problema di Picard in ipotesi di Caratheodory
• Exponential majorization and global Goursat problems
• Some remarks on the existence and uniqueness of solutions of the hyperbolic equation ∂²z/(∂x∂y)=f(x,y,x,∂z/∂x,∂z/∂y)
• On Hyperbolic Partial Differential Equations

This page was built for publication: An existence theorem for a general Goursat problem