Displaying similar documents to “Continuous dependence on parameters for second order discrete BVP’s”

On a criterion for the existence of at least four solutions of functional boundary value problems

Staněk, Svatoslav (1997)

Archivum Mathematicum

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A class of functional boundary conditions for the second order functional differential equation x ' ' ( t ) = ( F x ) ( t ) is introduced. Here F : C 1 ( J ) L 1 ( J ) is a nonlinear continuous unbounded operator. Sufficient conditions for the existence of at least four solutions are given. The proofs are based on the Bihari lemma, the topological method of homotopy, the Leray-Schauder degree and the Borsuk theorem.