Positive Solutions for a Nonlocal Boundary-Value Problem with Vector-Valued Response
Date
2002-05-28
Authors
Nowakowski, Andrzej
Orpel, Aleksandra
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Using variational methods, we study the existence of positive solutions for a nonlocal boundary-value problem with vector-valued response. We develop duality and variational principles for this problem and present a numerical version which enables the approximation of solutions and gives a measure of a duality gap between primal and dual functional for approximate solutions for this problem.
Description
Keywords
Nonlocal boundary-value problems, Positive solutions, Duality method, Variational method
Citation
Nowakowski, A., & Orpel, A. (2002). Positive solutions for a nonlocal boundary-value problem with vector-valued response. <i>Electronic Journal of Differential Equations, 2002</i>(46), pp. 1-15.
Rights
Attribution 4.0 International