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second order ODEs; uniqueness of solutions; oscillations

References:

[1] Hartman, P.: **Ordinary Differential Equations. 2nd ed. with some corrections and additions**. S. M. Hartman Baltimore (1973). MR 0344555 | Zbl 0281.34001

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

[3] Pražák, D., Rajagopal, K. R.: **Mechanical oscillators described by a system of differential-algebraic equations**. Submitted.

[4] Rajagopal, K. R.: **A generalized framework for studying the vibration of lumped parameter systems**. Submitted.