Free vibration of a class of Hill's equations having a small parameter

DOI10.1007/BF02015118zbMath0748.34026MaRDI QIDQ1191514

Xiaohuang Shao, Xin-Zhi Wang

Publication date: 27 September 1992

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Mathieu equationperturbation techniquessmall parameterinitial value problemboundary value problemHill's equationasymptotic periodic solutioncomputational result

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Unnamed Item
• On the explicit solution of a special Hill's equation
• The asymptotics of the gap in the Mathieu equation
• A Quasiperiodic Mathieu–Hill Equation
• Instability intervals of Hill's equation

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