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Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions
Authors:Gennaro Infante  Paolamaria Pietramala
Affiliation:Dipartimento di Matematica ed Informatica, Università della Calabria, , 87036 Arcavacata di Rende, Cosenza, Italy
Abstract: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 & Sons, Ltd.
Keywords:fixed point index  cone  nonnegative solution  nonlinear boundary conditions  coupled boundary conditions
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