On a linear model of swinging with a periodic step function coefficient

DOI10.14232/ACTASM-015-510-9zbMath1363.34125OpenAlexW4238314268MaRDI QIDQ2834204

László Hatvani, L. Csizmadia

Publication date: 25 November 2016

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/actasm-015-510-9

zbMATH Keywords

periodic solutionsperiodic coefficientsparametric resonancesecond-order linear differential equationsimpulsive effectsstep function coefficientsswinging

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Geometric methods in ordinary differential equations (34A26) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Parametric resonances in linear vibration theory (70J40)

Related Items (1)

On the existence of periodic motions of the excited inverted pendulum by elementary methods

Cites Work

• Stability properties of solutions of linear second order differential equations with random coefficients
• Scattering in domains with many small obstacles
• Parametric resonance in a linear oscillator at square-wave modulation
• A Special Hill's Equation with Discontinuous Coefficients
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