Maximal regularity of the discrete harmonic oscillator equation

DOI10.1155/2009/290625zbMath1167.39010OpenAlexW2034723136WikidataQ59248938 ScholiaQ59248938MaRDI QIDQ1026868

Claudio Cuevas, Carlos Lizama, Antonio de Castro

Publication date: 6 July 2009

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55825

zbMATH Keywords

boundednessBanach spaceresolvent operatorwell posednessmaximal regularitydiscrete harmonic oscillator equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Discrete version of topics in analysis (39A12)

Related Items (1)

Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Periodic solutions of second order differential equations in Banach spaces
• Hölder continuous solutions for integro-differential equations and maximal regularity
• Semilinear evolution equations of second order via maximal regularity
• Existence and regularity results for an integral equation with infinite delay in a Banach space
• A survey: stability and boundedness of Volterra difference equations
• Quasilinear evolutionary equations and continuous interpolation spaces.
• On simulations of the classical harmonic oscillator equation by difference equations
• A note on discrete maximal regularity for functional difference equations with infinite delay
• A note on time regularity for discrete time heat kernels
• Maximal regularity of discrete and continuous time evolution equations
• Exponential dichotomy and boundedness for retarded functional difference equations
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
• Operator–valued Fourier multiplier theorems on Besov spaces
• Fourier Multipliers and Integro‐Differential Equations in Banach Spaces
• Maximal regularity of discrete second order Cauchy problems in Banach spaces
• Analyticity and discrete maximal regularity on \(\ell_p\)-spaces
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

This page was built for publication: Maximal regularity of the discrete harmonic oscillator equation