Differential equations with hysteresis operators. existence of solutions, stability, and oscillations

DOI10.1134/S0012266117130055zbMath1394.34004OpenAlexW2792048542WikidataQ130182618 ScholiaQ130182618MaRDI QIDQ1643934

M. M. Shumafov, V. A. Teshev, K. D. Aleksandrov, Gennady Alekseevich Leonov

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266117130055

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Hysteresis for ordinary differential equations (34C55) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (8)

Fixed points of a mapping generated by a system of ordinary differential equations with relay hysteresis ⋮ Dynamics of SIR model with heterogeneous response to intervention policy ⋮ Control design for a perturbed system with an ambiguous nonlinearity ⋮ Criterion for the existence of two-point oscillatory solution of a perturbed system with a relay ⋮ Oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay without entering the saturation zones ⋮ Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator ⋮ Existence of two-point oscillatory solutions of a relay nonautonomous system with multiple eigenvalue of a real symmetric matrix ⋮ Continuous dependence on parameters and boundedness of solutions to a hysteresis system.

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