Document Type
Report
Source Publication Title
Technical Report 202
Abstract
One of the powerful methods of proving the existence of extremal solutions of initial and boundary value problems is the monotone iterative technique [1-4,6,7]. This has recently been applied [5] to a rather special type of boundary value problem [see pdf for notation] because, particular cases of (*) represent equations arising in the transport process of different types of particles moving in opposite directions, which are subjected to certain fluxes [8]. However (*) does not include situations in which the initial and final fluxes in a certain direction coincide. To cover this situation one needs to study a typical periodic boundary value problem (PBVP). This is precisely what we plan to consider in this paper. Developing a monotone technique for such a problem depends very much upon establishing a suitable comparison result. Hence we prove first an appropriate comparison result and then use it to develop a monotone technique for a PBVP, particular cases of which represent periodic transport processes. For transport processes arising in various physical situations, we refer to [7-9].
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
7-1-1983
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Shendge, G. R., "Monotone Method for Boundary Value Problems Describing Periodic Transport Processes" (1983). Mathematics Technical Papers. 161.
https://mavmatrix.uta.edu/math_technicalpapers/161