Iterative methods for parabolic functional differential equations

• Autorzy: Milena Matusik
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with iterative methods for parabolic functional differential equations with initial boundary conditions. Monotone iterative methods are discussed. We prove a theorem on the existence of solutions for a parabolic problem whose right-hand side admits a Jordan type decomposition with respect to the function variable. It is shown that there exist Newton sequences which converge to the solution of the initial problem. Differential equations with deviated variables and differential integral equations can be obtained from our general model by specializing given operators.

Kategorie tematyczne

• 35R10: Partial functional-differential equations
• 35K20: Initial-boundary value problems for second-order parabolic equations
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 2
• Strony: 221-235

Daty

wydano

2013

Twórcy

autor

Milena Matusik

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

Identyfikatory

DOI

10.4064/am40-2-5