First-order linear partial differential equations in the class of separately differentiable functions

DOI10.15330/CMP.5.1.89-93zbMath1391.35104OpenAlexW2016119234MaRDI QIDQ2941956

V. I. Myronyk, Volodymyr V. Mykhaylyuk

Publication date: 26 August 2015

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.5.1.89-93

zbMATH Keywords

partial differential equationsseparately differentiable functions

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Continuity and differentiation questions (26B05) Solutions to PDEs in closed form (35C05)

Cites Work

• A property of partial derivatives
• The equation \(u_ xu_ y=0\) factors
• A generalization of Bruckner-Petruska-Preiss-Thomson theorem
• Separately twice differentiable functions and the equation of string oscillation
• Solving of partial differential equations under minimal conditions

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