Journal of Applied Mathematics and Stochastic Analysis
Volume 5 (1992), Issue 1, Pages 43-67
doi:10.1155/S1048953392000042
Abstract
The aim of this paper is to give a theorem about the existence
of a classical solution of a Fourier third nonlocal quasilinear parabolic
problem. To prove this theorem, Schauder's theorem is used. The paper
is a continuation of papers [1]-[8] and the generalizations of some results
from [9]-[11]. The theorem established in this paper can be applied to
describe some phenomena in the theories of diffusion and heat conduction
with better effects than the analogous classical theorem about the
existence of a solution of the Fourier third quasilinear parabolic problem.