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Forced oscillations in piezoelectric crystals.
2002The author proves existence and uniqueness of weak solutions to a hyperbolic-elliptic system of PDEs, whichs models forced oscillations in a piezoelectric viscoelastic body. The system consists of a linear dissipative second order hyperbolic system (for the elastic displacement) and a linear second-order elliptic equation (for the electric potential ...
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On forced oscillations of Lagrangian systems
1986We study the existence of infinitely many periodic solutions of the Lagrangian system $\frac{d}{dt}\frac{\partial\mathcal{\mathfrak{L}}}{\partial\dot{q}}$-$\frac{\text{\ensuremath{\partial}}\mathcal{\mathfrak{L}}}{\partial q}$+ f(t) = 0 (where f(t) is a periodic «forcing» term). We assume that the potential «grows» superquadratically at infinity.
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Some Results on the Existence of Forced Oscillations in Mechanical Systems
Proceedings of the Steklov Institute of Mathematics, 2020Ivan Yu Polekhin
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Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type
International Journal of Engineering Science, 2013Stevan Pilipovic +2 more
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Forced oscillations of solutions of hyperbolic equations of neutral type with maxima
Applicable Analysis, 1998Emil Minchev, Drumi Bainov
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Large Amplitude Free and Forced Oscillations of Functionally Graded Beams
Mechanics of Advanced Materials and Structures, 2014Seyedehmarzieh Hosseini +2 more
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