On Periodicity of Solutions For Thermocontrol Problems with Hysteresis-Type Switches

DOI10.1137/080718905zbMath1192.35012OpenAlexW2016267623MaRDI QIDQ3553807

Willi Jäger, Pavel L. Gurevich, Alexander L. Skubachevskii

Publication date: 21 April 2010

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/61b9a26ac399479ee2c19064687fe3a9f229a40d

zbMATH Keywords

sensors insidethermostat acting on the boundary

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Equations with nonlinear hysteresis operators (47J40)

Related Items (9)

Periodic solutions of parabolic equations with hysteresis in dimension 1 ⋮ On differential equations with nonlocal switch functionals ⋮ Realization of arbitrary hysteresis by a low-dimensional gradient flow ⋮ Existence of solutions to heat equations with hysteresis coupled with Navier-Stokes equations in 2D domains ⋮ Symmetric periodic solutions of parabolic problems with discontinuous hysteresis ⋮ Existence and uniqueness of solutions to heat equations with hysteresis coupled with Navier-Stokes equations in 2D and 3D ⋮ Diffusion with nonlocal boundary conditions ⋮ Parabolic problems with the Preisach hysteresis operator in boundary conditions ⋮ Stability of periodic solutions for hysteresis-delay differential equations

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