Hyperbolic operators with memory

DOI10.1007/BF02105139zbMath0579.47053MaRDI QIDQ1067189

A. A. Lokshin

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

operatorhyperbolicintegrodifferential operatorsfundamentallinear dynamic system in elasticity theorymatrix of solutionsoperators with memory

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) General theory of partial differential operators (47F05) Hyperbolic equations and hyperbolic systems (35L99) Elastic materials (74B99) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Cites Work

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• A remark on hyperbolic integrodifferential equations
• An integrodifferential equation for rigid heat conductors with memory
• On A. Lax's condition of hyperbolicity
• A general theory of heat conduction with finite wave speeds
• Remarks on cauchy's problem for hyperbolic partial differential equations with constant coefficients in several independent variables
• Hyperbolic Integrodifferential Equations
• On the Speed of Propagation of Solutions of Integrodifferential Equations