Titlebook: Boundary Value Problems for Operator Differential Equations; V. I. Gorbachuk,M. L. Gorbachuk Book 1991 Kluwer Academic Publishers 1991 Ban

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Boundary Value Problems for a Second-Order Elliptic-Type Operator Differential Equation,We will consider the differential expression..where A is a lower semi-bounded self-adjoint operator, and for any fixed.q(t) is a bounded self-adjoint operator on a Hilbert space n. We assume that the operator-function.is strongly measurable and that.as a function of t, is bounded on [a, b].

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Boundary Values of Solutions of Differential Equations in a Banach Space,This section is devoted to a brief presentation (mainly without proofs) of some results in the theory of semigroups needed to investigate solutions of operator differential Eqations in a Banach space.

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Boundary Value Problems for Operator Differential Equations

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https://doi.org/10.1007/b137878f abstract boundary conditions which are convenient to use in boundary value problems for differential Eqations. In this connection, the notions of a dissipative linear relation and a boundary value space are of principal importance.

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Extensions of Symmetric Operators,f abstract boundary conditions which are convenient to use in boundary value problems for differential Eqations. In this connection, the notions of a dissipative linear relation and a boundary value space are of principal importance.

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Extensions of Symmetric Operators,e the traditional approach used in the theory of self-adjoint extensions of symmetric operators, in this section we describe the extensions in terms of abstract boundary conditions which are convenient to use in boundary value problems for differential Eqations. In this connection, the notions of a