Reachability problems for a class of integro-differential equations

DOI10.1016/j.jde.2009.09.016zbMath1195.45034OpenAlexW2002964538MaRDI QIDQ960826

Paola Loreti, Daniela Sforza

Publication date: 29 March 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.09.016

zbMATH Keywords

reachabilityHilbert uniqueness methodFourier seriesconvolution kernelIngham estimatesHaraux estimates

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Integro-partial differential equations (45K05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (21)

Approximate controllability of nonsimple elastic plate with memory ⋮ Null-controllability properties of the wave equation with a second order memory term ⋮ Observability of \(N\)-dimensional integro-differential systems ⋮ Viscoelastic aspects of glass relaxation models ⋮ Temperature and Heat Flux Dependence/Independence for Heat Equations with Memory ⋮ Null controllability for wave equations with memory ⋮ On the observability inequalities of time discrete 2‐D integro‐differential systems in square domains ⋮ Observability inequality for piecewise Hermite cubic orthogonal spline collocation semi‐discretization of the wave‐Petrovsky system with memory ⋮ Riccati-based solution to the optimal control of linear evolution equations with finite memory ⋮ Boundary observability of semi-discrete second-order integro-differential equations derived from piecewise Hermite cubic orthogonal spline collocation method ⋮ Inverse observability inequalities for integrodifferential equations in square domains ⋮ Observability inequalities for Hermite bi-cubic orthogonal spline collocation methods of 2-D integro-differential equations in the square domains ⋮ Control problems for weakly coupled systems with memory ⋮ On controllability of a non-homogeneous elastic string with memory ⋮ Simultaneous temperature and flux controllability for heat equations with memory ⋮ On the observability of time discrete integro-differential systems ⋮ Reachability problems for a wave-wave system with a memory term ⋮ Mathematical Model for the Output Signal’s Energy of an Ideal DAC in the Presence of Clock Jitter ⋮ Exact reachability for second-order integro-differential equations ⋮ Null-controllability properties of a fractional wave equation with a memory term ⋮ Approximate controllability of linear parabolic equation with memory

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