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Symmetry- and selfadjointness-conditions are derived for ordinary differential-integral-interface operators under integral-interface conditions. Criteria for the existence of selfadjoint extensions in L×L are given. These extensions are characterized in a constructive way. The main tools are some extension-theorems for linear relations (subspaces), wich are developed in section 2.  相似文献   

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For nonlinear parabolic functional-differential operators with nonlinear functional-boundary conditions of first and third kind, involving time-derivatives on the boundary, a uniform conception for one- and two-sided estimations on unbounded domains is introduced. In the infinity variable growth conditions are given. As a conclusion stability, uniqueness and a maximum principle follow.  相似文献   

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We give a criterion that a solution to an eigenvalue variational inequality defines a strong local minimum of an associated energy functional. Furthermore we study the bifurcation problem. As an application of these, we consider the compressed plate where the admissible deflections v satisfy the inequality |v| d, 0<d = const.  相似文献   

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