Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions. (14th August 2013)

• Record Type: Journal Article
• Authors: Infante, Gennaro; Pietramala, Paolamaria
• Is Part Of: Mathematical methods in the applied sciences. Volume 37:Number 14(2014:Sep. 30)
• Page Start: 2080
• Page End: 2090
• Publication Date: 2013-08-14
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2957
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2957-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma2957-para-0001">Using the theory of fixed point index, we discuss the existence and multiplicity of nonnegative solutions of a wide class of boundary value problems with coupled nonlinear boundary conditions. Our approach is fairly general and covers a variety of situations. We illustrate in an example that all the constants that occur in our theory can be computed. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>