On the spectrum of cosine functions

DOI10.1006/JMAA.1998.6140zbMath0921.34073OpenAlexW2056648560MaRDI QIDQ1279938

E. Schüler

Publication date: 13 June 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6140

zbMATH Keywords

generatorspectrumresolvent setcosine functionsstrongly continuous cosine functionassociated sine function

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Linear differential equations in abstract spaces (34G10) Spectral sets of linear operators (47A25) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Periodic solutions of second order differential equations in Banach spaces ⋮ Approximate controllability for abstract semilinear impulsive functional differential inclusions based on Hausdorff product measures ⋮ Mild solutions to integro-differential equations in Banach spaces ⋮ SOLUTION PROPERTIES OF SOME CLASSES OF OPERATOR EQUATIONS IN HILBERT SPACES ⋮ Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The operator equation \(AX-XB=C\) with unbounded operators \(A\) and \(B\) and related abstract Cauchy problems
• Mild almost periodic solutions of abstract differential equations
• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• The operator equation \(AX-XB=C\), admissibility, and asymptotic behavior of differential equations
• On the Spectrum of C 0 -Semigroups
• Well-Posedness of Higher Order Abstract Cauchy Problems
• Spectral Theory for Contraction Semigroups on Hilbert Space

This page was built for publication: On the spectrum of cosine functions