An infinite sequence of nonoscillation theorems for second-order nonlinear differential equations of Euler type

DOI10.1016/S0362-546X(01)00768-4zbMath1013.34029MaRDI QIDQ1612580

Jitsuro Sugie, Naoto Yamaoka

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Liénard systemoscillationnonlinear Euler differential equationsphase plane analyses

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (8)

Oscillation of solutions of second-order nonlinear differential equations of Euler type ⋮ Oscillation and nonoscillation theorems for Meissner's equation ⋮ Oscillation and nonoscillation criteria for second-order nonlinear difference equations of Euler type ⋮ Oscillation of solutions of second-order nonlinear self-adjoint differential equations ⋮ Oscillation constants for second-order ordinary differential equations related to elliptic equations with \(p\)-Laplacian ⋮ Oscillatory properties of second order nonlinear differential equations ⋮ Applications of iterated logarithm functions on time scales to Riemann–Weber-type equations ⋮ The least possible impulse for oscillating all nontrivial solutions of second-order nonoscillatory differential equations

Cites Work

• Unnamed Item
• Oscillation theorems for second-order nonlinear differential equations of Euler type
• Classification of global phase portraits of a system of Liénard type
• Nonlinear oscillations of second order differential equations of Euler type
• Non-Oscillation Theorems
• Oscillation criteria for second order nonlinear differential equations of Euler type

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