Half-linear ODE and modified Riccati equation: comparison theorems, integral characterization of principal solution

DOI10.1016/j.na.2011.06.025zbMath1229.34048OpenAlexW2071207559MaRDI QIDQ640172

Simona Fišnarová, Robert Mařík

Publication date: 17 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.025

zbMATH Keywords

comparison theoremsRiccati equationhalf-linear differential equationoscillation criteriaprincipal solutionnonoscillation criteria

Mathematics Subject Classification ID

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

Related Items (6)

Characteristic equation for autonomous planar half-linear differential systems ⋮ On the existence and asymptotic behavior of solutions of half-linear ordinary differential equations ⋮ Parameter diagram for global asymptotic stability of damped half-linear oscillators ⋮ Growth conditions for uniform asymptotic stability of damped oscillators ⋮ On constants in nonoscillation criteria for half-linear differential equations ⋮ A new application method for nonoscillation criteria of Hille-Wintner type

Cites Work

• Half-linear oscillation criteria: perturbation in term involving derivative
• Comparison theorems for oscillation of second order half-linear differential equations
• Comparison of nonlinearities in oscillation theory of half-linear differential equations
• INTEGRAL CHARACTERIZATION OF THE PRINCIPAL SOLUTION O HALF-LINEAR SECOND ORDER DIF ERENTIAL EQUATIONS
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