Monotone iteration for infinite systems of parabolic equations with functional dependence

• Autorzy: Anna Pudełko
• Języki publikacji: EN

Abstrakty

EN

We consider the initial value problem for an infinite system of differential-functional equations of parabolic type. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. The solutions are obtained by the monotone iterative method. We prove theorems on weak partial differential-functional inequalities as well the existence and uniqueness theorems in the class of continuous bounded functions and in the class of functions satisfying a certain growth condition.

Kategorie tematyczne

• 35R45: Partial differential inequalities
• 35K15: Initial value problems for second-order parabolic equations
• 35R10: Partial functional-differential equations
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 90
• Numer: 1
• Strony: 1-19

Daty

wydano

2007

Twórcy

autor

Anna Pudełko

• Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap90-1-1