Analytical theory of non-linear oscillations. IX: Limit oscillations and unbounded solutions of equations of the second order

DOI10.1007/BF02411941zbMath0429.34031OpenAlexW2995447505MaRDI QIDQ1137715

Chike Obi

Publication date: 1979

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02411941

zbMATH Keywords

resonancelimit oscillations

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

A system of order 2 in which small sub-harmonics and large sub-harmonics coexist

Cites Work

• Analytical theory of non-linear oscillations. VIII: Second order conservative systems whose solutions are all oscillating with the least period \(2\pi\)
• Periodic solutions of 𝑥”+𝑐𝑥’+𝑔(𝑥)=𝜖𝑓(𝑡)
• Almost-conservative second-order differential equations
• Analytical Theory of Nonlinear Oscillations. II: Small Periodic Oscillations of Equations of the Second Order
• Unbounded Solutions of ÿ + g(y) = p{t)
• Unbounded Solutions of an Equation ÿ+g{y) =p(t) , with p(t) Periodic and Bounded, and g(y) /y → ∞ as y →±∞
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