Geodesic
Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations
Stanis/law Brzychczy1
1 Faculty of Applied Mathematics University of Mining and Metallurgy Al. Mickiewicza 30 30-059 Krak/ow, Poland
Annales Polonici Mathematici, Tome 77 (2001) no. 1, pp. 1-9.

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

We consider the Fourier first initial-boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations of parabolic type. The right-hand sides of the system are functionals of unknown functions. The existence and uniqueness of the solution are proved by the Banach fixed point theorem.
DOI : 10.4064/ap77-1-1
Keywords: consider fourier first initial boundary value problem infinite system weakly coupled nonlinear differential functional equations parabolic type right hand sides system functionals unknown functions existence uniqueness solution proved banach fixed point theorem

Stanis/law Brzychczy 1

1 Faculty of Applied Mathematics University of Mining and Metallurgy Al. Mickiewicza 30 30-059 Krak/ow, Poland 
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Stanis/law Brzychczy. Existence and uniqueness of solutions of nonlinear infinite
systems of parabolic differential-functional equations. Annales Polonici Mathematici, Tome 77 (2001) no. 1, pp. 1-9. doi : 10.4064/ap77-1-1. http://geodesic.mathdoc.fr/articles/10.4064/ap77-1-1/

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