Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations
Volume 77 / 2001
Annales Polonici Mathematici 77 (2001), 1-9
MSC: 35R10, 35K55, 35K57.
DOI: 10.4064/ap77-1-1
Abstract
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.
