Spectral properties of cosine operator functions

DOI10.1007/BF01837973zbMath0675.47029OpenAlexW2095067512MaRDI QIDQ1122120

Carlos Lizama, Ioana Cioranescu

Publication date: 1988

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137276

zbMATH Keywords

existenceuniquenessspectral propertygenerator of cosine functionT-periodic mild solution

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (9)

Demicompactness properties for uniformly continuous cosine families ⋮ Periodic solutions of second order differential equations in Banach spaces ⋮ Cosine families of bounded linear operators on non-archimedean Banach spaces ⋮ On the spectrum of cosine operator functions ⋮ Mild almost periodic solutions of abstract differential equations ⋮ Some applications of Fejer’s theorem to operator cosine functions in Banach spaces ⋮ SOLUTION PROPERTIES OF SOME CLASSES OF OPERATOR EQUATIONS IN HILBERT SPACES ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations

Cites Work

• Ordinary differential equations in linear topological spaces. I
• Ordinary differential equations in linear topological space. II
• A Cosine Functional Equation in Hilbert Space
• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space
• Cosine families and abstract nonlinear second order differential equations
• On operator-valued solutions of d'Alembert's functional equation, I
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