A Hilbert space approach to homogenization of linear ordinary differential equations including delay and memory terms

DOI10.1002/mma.2515zbMath1252.35039OpenAlexW2014749324MaRDI QIDQ2905704

Marcus Waurick

Publication date: 28 August 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2515

zbMATH Keywords

Hilbert space framework

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Abstract hyperbolic equations (35L90)

Related Items (5)

On the homogenization of partial integro-differential-algebraic equations ⋮ A Hilbert space perspective on ordinary differential equations with memory term ⋮ Nonlocal \(H\)-convergence ⋮ Homogenisation and the weak operator topology ⋮ Two-scale homogenization of abstract linear time-dependent PDEs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• G-convergence of monotone operators
• Homogenization of linear and nonlinear ordinary differential equations with time depending coefficients
• The stability of some feedback systems with delay
• Memory effects in homogenisation: Linear second-order equations
• Some results on homogenization of convection-diffusion equations
• Memory effects and homogenization
• Two-scale homogenization and memory effects of a first order differential equation
• A structural observation for linear material laws in classical mathematical physics
• AVERAGING ANDG-CONVERGENCE OF DIFFERENTIAL OPERATORS
• Semigroups and differential equations with infinite delay
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Vector-valued integration with applications to the operator-valued H  space
• The Periodic Unfolding Method in Homogenization
• Introduction to higher analysis. Topological spaces, function theory, ordinary differential equations, measure and integration theory, functional analysis

This page was built for publication: A Hilbert space approach to homogenization of linear ordinary differential equations including delay and memory terms