Damped oscillating systems modeled by hyperbolic differential equations with slowly varying coefficients

DOI10.1007/BF01190397zbMath0423.35012MaRDI QIDQ1134294

J. C. Arya, Georgi Boyadzhiev

Publication date: 1980

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

slowly varying coefficientsdamped oscillating systemshyperbolic differential equations

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Partial differential equations of mathematical physics and other areas of application (35Q99) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (3)

Oscillations of a string on an elastic foundation with space and time-varying rigidity ⋮ Time-dependent oscillating systems with damping, slowly varying parameters, and delay ⋮ Stability analysis of nonlinear dynamic systems with slowly and periodically varying delay

Cites Work

• Unnamed Item
• The effect of kinematical non-linearities on the vibration frequencies of a damped string
• Second order hyperbolic equations with small non-linearities in the case of internal resonance
• Monofrequent oscillations in mechanical systems governed by second order hyperbolic differential equations with small non-linearities
• Asymptotic solutions of partial differential equations with damping and delay
• Asymptotic Solution of a Non-linear Second Order Hyperbolic Differential Equation with Large Time Delay
• Introduction to Non-Linear Mechanics. (AM-11)

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