An application of Tychonoff's fixed point theorem to hyperbolic partial differential equations

DOI10.1007/BF01361934zbMath0132.33305MaRDI QIDQ2395543

A. Kadir Aziz, John Maloney

Publication date: 1965

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161323

zbMATH Keywords

hyperbolic equationsTikhonov fixed point theorem

Mathematics Subject Classification ID

Partial differential equations (35-XX) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (4)

Existence results for fuzzy partial differential inclusions ⋮ Monotone iterative scheme for nonlinear hyperbolic boundary value problem ⋮ Etude de quelques problemes d'existence globale concernant i'equation ⋮ Étude de quelques problèmes d'existence globale concernant l'équation \[ {\partial r+S_u\over\partial x^r\partial y^s}=f(x,y,u,{\partial u\over \partial x},{\partial u\over\partial y},\dots,{\partial p+qu\over\partial x^p\partial y^q},\dots,)\begin{cases} 0\leq p\leq r\\ 0\leq q\leq s\\ p+q\leq r+s.\end{cases} \]

Cites Work

• Ein Fixpunktsatz
• Some remarks on the existence and uniqueness of solutions of the hyperbolic equation ∂²z/(∂x∂y)=f(x,y,x,∂z/∂x,∂z/∂y)
• Unnamed Item
• Unnamed Item

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