Frequency-domain approach to nonlinear oscillations of some third-order differential equations

DOI10.1016/0362-546X(86)90115-XzbMath0612.34050MaRDI QIDQ3752728

Anthony Uyi Afuwapẹ

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

third-order differential equationfrequency-domain matrix inequalities

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Stability theory for ordinary differential equations (34D99)

Related Items (6)

Unnamed Item ⋮ Unnamed Item ⋮ Frequency domain approach to some third-order nonlinear differential equations ⋮ Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems ⋮ Asymptotic and exponential stability of certain third-order non-linear delayed differential equations: frequency domain method ⋮ Periodic solutions of the third order functional differential equations

Cites Work

• Stability by Liapunov's direct method. With applications
• Absolute stability of nonlinear systems of automatic control
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
• An Application of the Frequency-Domain Criteria for Dissipativity of a Certain Third Order Non-Linear Differential Equation
• Applications of the frequency‐method to forced nonlinear oscillations
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