Mechanical oscillators described by a system of differential-algebraic equations. (English) Zbl 1249.34017

Summary: We study a system of differential-algebraic equations describing the motion of the mass-spring-dashpot oscillator. Assuming a monotone relationship between the displacement, velocity and the respective forces, we prove global existence and uniqueness of solutions. We also analyze the behavior of some simple particular models.


34A09 Implicit ordinary differential equations, differential-algebraic equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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