Concavity arguments and growth estimates for damped linear integrodifferential equations with applications to a class of holohedral isotropic dielectrics

DOI10.1007/BF01601490zbMath0394.45004OpenAlexW2035507248MaRDI QIDQ1252605

Frederick Bloom

Publication date: 1978

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01601490

zbMATH Keywords

Initial Value ProblemsGrowth EstimatesElectric Displacement FieldsHolohedral Isotropic Nonconducting Rigid DielectricsIntegrodifferential Equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05)

Related Items

Approximation techniques for solving linear systems of Volterra integro-differential equations ⋮ Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory

Cites Work

• Linear functional electromagnetic constitutive relations and plane waves in a hemihedral isotropic material
• Growth estimates for electric displacement fields and bounds for constitutive constants in the Maxwell-Hopkinson theory of dielectrics
• Bounds for Solutions to a Class of Integro-differential Equations Associated with a Theory of Rigid Nonconducting Material Dielectrics
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)