Geodesic
Monotone iteration for infinite systems of parabolic equations with functional dependence
Anna Pudełko1
1 Faculty of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland
Annales Polonici Mathematici, Tome 90 (2007) no. 1, pp. 1-19.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap90-1-1
Keywords: consider initial value problem infinite system differential functional equations parabolic type general operators parabolic type second order variable coefficients considered system weakly coupled solutions obtained monotone iterative method prove theorems weak partial differential functional inequalities existence uniqueness theorems class continuous bounded functions class functions satisfying certain growth condition

Anna Pudełko 1

1 Faculty of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland 
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Anna Pudełko. Monotone iteration for infinite systems of
 parabolic equations with functional dependence. Annales Polonici Mathematici, Tome 90 (2007) no. 1, pp. 1-19. doi : 10.4064/ap90-1-1. http://geodesic.mathdoc.fr/articles/10.4064/ap90-1-1/

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