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differential-algebraic equations; existence and uniqueness of solutions; mechanical oscillators

References:

[1] Filippov, A. F.: **Klassische Lösungen von Differentialgleichungen mit einer mehrdeutigen rechten Seite (Classical solutions of differential equations with multi-valued right-hand side)**. SIAM J. Control 5 (1967), 609-621 English. DOI 10.1137/0305040 | MR 0220995

[2] Meirovitch, L.: **Elements of Vibration Analysis, 2nd ed**. McGraw-Hill New York (1986).

[3] Rajagopal, K. R.: **A generalized framework for studying the vibration of lumped parameter systems**. Mechanics Research Communications 37 (2010), 463-466 http://www.sciencedirect.com/science/article/pii/S0093641310000728 DOI 10.1016/j.mechrescom.2010.05.010

[4] Rudin, W.: **Real and Complex Analysis, 3rd ed**. McGraw-Hill New York (1987). MR 0924157 | Zbl 0925.00005

[5] Vrabie, I. I.: **Differential Equations. An Introduction to Basic Concepts, Results and Applications**. World Scientific Publishing River Edge (2004). DOI 10.1142/5534 | MR 2092912 | Zbl 1070.34001