Nonoscillation of damped linear differential equations with a proportional derivative controller and its application to Whittaker-Hill-type and Mathieu-type equations

DOI10.7494/OPMATH.2023.43.1.67zbMath1523.34036MaRDI QIDQ6039586

Kazuki Ishibashi

Publication date: 23 May 2023

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

Mathieu equationRiccati techniquenonoscillationproportional derivative controllerWhittaker-Hill equation

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

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