Infinite systems of first order PFDEs with mixed conditions

• Autorzy: W. Czernous
• Języki publikacji: EN

Abstrakty

EN

We consider mixed problems for infinite systems of first order partial functional differential equations. An infinite number of deviating functions is permitted, and the delay of an argument may also depend on the spatial variable. A theorem on the existence of a solution and its continuous dependence upon initial boundary data is proved. The method of successive approximations is used in the existence proof. Infinite differential systems with deviated arguments and differential integral systems can be derived from the general model by specializing the operators.

Kategorie tematyczne

• 35L60: Nonlinear first-order hyperbolic equations
• 35R10: Partial functional-differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 94
• Numer: 3
• Strony: 209-230

Daty

wydano

2008

Twórcy

autor

W. Czernous

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap94-3-2