RESEARCH COMMONS
LIBRARY

Monotone Method for Boundary Value Problems Describing Periodic Transport Processes

ResearchCommons/Manakin Repository

Monotone Method for Boundary Value Problems Describing Periodic Transport Processes

Show full item record

Title: Monotone Method for Boundary Value Problems Describing Periodic Transport Processes
Author: Shendge, G. R.
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].
URI: http://hdl.handle.net/10106/2289
Date: 1983-07

Files in this item

Files Size Format View Description
MathTechReport202.pdf 456.9Kb PDF View/Open PDF

This item appears in the following Collection(s)

Show full item record

Browse

My Account

Statistics

About Us