Nonlinear boundary value problems with maximal monotone terms (Q1972862)

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scientific article; zbMATH DE number 1436168
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Nonlinear boundary value problems with maximal monotone terms
scientific article; zbMATH DE number 1436168

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    Nonlinear boundary value problems with maximal monotone terms (English)
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    7 June 2000
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    The authors consider a second-order nonlinear differential equation with maximal monotone terms and nonlinear, possibly multivalued boundary conditions. Using the theory of maximal monotone operators and the Leray-Schauder alternative the authors establish the existence of solutions. The formulation is very general and includes as special cases Dirichlet, Neumann and periodic problems.
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    nonlinear boundary value problems
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    Dirichlet problem
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    Neumann problem
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    second-order nonlinear differential equation
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    maximal monotone terms
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    periodic problems
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