Methods of oscillation theory of half-linear second order differential equations

DOI10.1023/A:1022854131381zbMath1079.34512OpenAlexW29773463MaRDI QIDQ3366530

Ondřej Došlý

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30592

zbMATH Keywords

variational principlehalf-linear equationRiccati techniqueprincipal solutionreciprocity principleoscillation and nonoscillation criteria

Mathematics Subject Classification ID

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

Related Items (11)

Nonoscillation theory for second order half-linear differential equations in the framework of regular variation ⋮ Unnamed Item ⋮ Integral averages and oscillation criteria for half-linear partial differential equation. ⋮ Hardy inequality and properties of the quasilinear Sturm-Liouville problem ⋮ Moore-type nonoscillation criteria for half-linear difference equations ⋮ Positive decreasing solutions of quasilinear dynamic equations ⋮ A new application method for nonoscillation criteria of Hille-Wintner type ⋮ Oscillation of the half-linear PDE in general exterior domains -- the variational approach ⋮ Oscillatory and nonoscillatory conditions for a second-order half-linear differential equation ⋮ Oscillation theorems for certain even order nonlinear damped differential equations ⋮ Nonoscillation criteria for half-linear second-order difference equations

Cites Work

• Oscillation and nonoscillation criteria for half-linear second order differential equations
• On some analogs of Sturm's and Kneser's theorems for nonlinear systems
• Oscillation and nonoscillation criteria for second order quasilinear differential equations
• Strong oscillation and nonoscillation of quasilinear differential equations of second order
• Equivalent boundary value problems for self-adjoint differential systems
• Principal and antiprincipal solutions of selfadjoint differential systems and their reciprocals
• Sturmian comparison theorem for half-linear second-order differential equations
• Non-Oscillation Theorems
• On the Non-Existence of Conjugate Points
• Oscillation criteria for half-linear second order differential equations
• Oscillation criteria for half-linear second order differential equations
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