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Displaying similar documents to “The nonlinear periodic second order boundary value problem”

A periodic boundary value problem in Hilbert space

Boris Rudolf (1994)

Mathematica Bohemica

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In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.

Nonlinear boundary value problems for second order differential inclusions

Sophia Th. Kyritsi, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou (2005)

Czechoslovak Mathematical Journal

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In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form x a ( x , x ' ) ' . In this problem the maximal monotone term is required to be defined everywhere in the state space N . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form x ( a ( x ) x ' ) ' . In this...