Generalized Cauchy problems for hyperbolic functional differential systems

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

Abstrakty

EN

A generalized Cauchy problem for hyperbolic functional differential systems is considered. The initial problem is transformed into a system of functional integral equations. The existence of solutions of this system is proved by using the method of successive approximations. Differentiability of solutions with respect to initial functions is proved. It is important that functional differential systems considered in this paper do not satisfy the Volterra condition.

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: 2014
• Tom: 110
• Numer: 1
• Strony: 33-53

Daty

wydano

2014

Twórcy

autor

Elżbieta Puźniakowska-Gałuch

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

Identyfikatory

DOI

10.4064/ap110-1-4