Bounded solutions of finite-difference equations

DOI10.1007/BF00969344zbMath0615.34065OpenAlexW2086140437MaRDI QIDQ1820916

V. G. Kurbatov

Publication date: 1986

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969344

zbMATH Keywords

Fredholm operatoroperator algebradifferential-difference equationfirst order differential equationlocal compact operator

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) General theory of functional-differential equations (34K05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (4)

The Gelfand-Shilov type estimate for Green's function of the bounded solutions problem ⋮ Computation of Green's function of the bounded solutions problem ⋮ Representations of Green's function of the bounded solutions problem for a differential-algebraic equation ⋮ Certain classes of harmonic functions with singularities on a quasiconformal arc

Cites Work

• Condensing operators
• Solvability with respect to the derivative of a stable functional- differential equation
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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