Document Type
Article
Publication Title
Journal of Applied Mathematics and Stochastic Analysis
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 [l]-[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.
First Page
43
Last Page
67
DOI
10.1155/S1048953392000042
Publication Date
1992
Recommended Citation
Ludwik Byszewski, “Existence of a solution of a Fourier nonlocal quasilinear parabolic problem,” Journal of Applied Mathematics and Stochastic Analysis, vol. 5, no. 1, pp. 43-67, 1992. doi:10.1155/S1048953392000042