On the maintenance of oscillations of \(n\)-th order equations under the effect of a small forcing term

DOI10.1016/0022-0396(71)90058-1zbMath0216.11504OpenAlexW2001125255MaRDI QIDQ5921286

Athanassios G. Kartsatos

Publication date: 1971

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(71)90058-1

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (16)

Oscillation and asymptotic behaviour of nonlinear equations with middle terms of order N − 1 and forcings ⋮ Interval oscillation criteria for second-order nonlinear forced differential equations involving variable exponent ⋮ Interval oscillation criteria for second order super-half linear functional differential equations with delay and advanced arguments ⋮ Oscillation theorems for second-order forced neutral nonlinear differential equations with delayed argument ⋮ Oscillation criteria for forced neutral differential equations ⋮ Unnamed Item ⋮ Sufficient conditions for the oscillation of forced super-linear second order differential equations with oscillatory potential ⋮ Maintenance of Oscillations Under the Effect of a Periodic Forcing Term ⋮ Oscillation of even order nonlinear delay dynamic equations on time scales ⋮ Oscillations of functional differential equations with retarded argument ⋮ Asymptotic behavior of solutions of a second order nonlinear differential equation ⋮ On delay-independent criteria for oscillation of higher-order functional differential equations ⋮ Criteria for oscillation and growth of nonoscillatory solutions of forced differential equations of even order ⋮ Forced oscillations for differential equations of arbitrary order ⋮ Perturbations Causing Oscillations of Functional-Differential Equations ⋮ Asymptotic behavior and oscillatory character of bounded solutions of differential equations with deviating arguments

Cites Work

• Unnamed Item
• Unnamed Item
• Some oscillation theorems for second order differential equations
• On oscillation of solutions of even order nonlinear differential equations
• On oscillations of nonlinear equations of second order
• Monotone solutions of some differential equations
• Properties of Bounded Solutions of Nonlinear Equations of Second Order
• Oscillation of Nonlinear Second-Order Equations
• Oscillation of Nonlinear Differential Equations with Small Nonlinear Damping
• Oscillation of Solutions of Certain Ordinary Differential Equations of nTH Order

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