Multiple non-negative solutions of systems with coupled nonlinear BCs (1306.5556v1)

Published 24 Jun 2013 in math.CA and math.AP

Abstract: Using the theory of fixed point index, we discuss the existence and multiplicity of non-negative 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 our theory in an example all the constants that occur in our theory.

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