On the local Cauchy problem for first order partial differential functional equations

• Autorzy: Elżbieta Puźniakowska-Gałuch
• Języki publikacji: EN

Abstrakty

EN

A theorem on the existence of weak solutions of the Cauchy problem for first order functional differential equations defined on the Haar pyramid is proved. The initial problem is transformed into a system of functional integral equations for the unknown function and for its partial derivatives with respect to spatial variables. The method of bicharacteristics and integral inequalities are applied. Differential equations with deviated variables and differential integral equations can be obtained from the general theory by specializing given operators.

Kategorie tematyczne

• 35F25: Initial value problems for nonlinear first-order equations
• 35R10: Partial functional-differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 98
• Numer: 1
• Strony: 39-61

Daty

wydano

2010

Twórcy

autor

Elżbieta Puźniakowska-Gałuch

• Institute of Mathematics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap98-1-3