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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Multiple Positive Solutions of a Nonlinear Boundary Value Problem
by
Nickolai Kosmatov
Auburn University

There has recently been a lot of interest in obtaining results on the existence of triple positive solutions. We consider a nonlinear boundary value problem subject to the conjugate type boundary conditions. The nonlinearity under consideration is nonstationary and nonatomic. Using the Leggett-Williams fixed point theorem, it can be shown that under mixed assumptions of sublinearity and superlinearity imposed on the nonlinearity the above BVP allows triple positive solutions.

Date received: March 30, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-32.