BOUNDARY VALUES OF SOLUTIONS OF SOME CLASSES OF DIFFERENTIAL EQUATIONS

DOI10.1070/SM1977v031n01ABEH002293zbMath0392.34040MaRDI QIDQ4173693

M. L. Gorbachuk, V. I. Gorbachuk

Publication date: 1977

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

zbMATH Keywords

Boundary Values of SolutionsSelf Adjoint Operators in Hilbert Spaces

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear differential equations in abstract spaces (34G10)

Related Items (11)

Representation and boundary values of solutions of homogeneous second- order operator-differential equation ⋮ Operator calculus for some classes of non-self-adjoint operators ⋮ Boundary values of solutions of operator-differential equations of an arbitrary order ⋮ Weak solutions of differential equations in Hilbert space ⋮ Spaces of smooth and generalized vectors of the generator of an analytic semigroup and their applications ⋮ Cauchy problem for differential equations in Hilbert space ⋮ Representation of the general solution of an operator differential equation ⋮ Behavior at infinity of solutions of operator differential equations ⋮ Smooth maximally dissipative boundary-value problems for a parabolic equation in a Hilbert space ⋮ Polynomial approximation of solutions of operator-differential equations in a Hilbert space ⋮ A criterion for the similarity of a closed operator to a self-adjoint operator

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