Document Type
Report
Source Publication Title
Technical Report 164
Abstract
Existence of extremal solutions of initial and boundary value problems (B.V.P. for short) of differential equations in a Banach space has been recently considered in [2,7] by utilizing monotone iterative method. A special type of B.V.P. of the form [see pdf for notation] in finite dimensional spaces have been recently investigated in [6]. It is of interest to investigate (1.1) in a Banach space since special forms of them occur in transport processes [1,8,9]. In order to develop monotone technique for (1.1) it becomes necessary to develop a comparison Theorem (see Theorem 2.1) which is of interest in itself. The advantage of using monotone iterative technique to such equations is that the iterates are solutions of linear initial value problems which are easily computable. In this paper we develop monotone technique for (1.1).
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
6-1-1981
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Vatsala, A. S. and Pachpatte, B. G., "Monotone Method for Equations Describing Transport Phenomena in a Banach Space" (1981). Mathematics Technical Papers. 75.
https://mavmatrix.uta.edu/math_technicalpapers/75