Picone's formula for linear non-selfadjoint impulsive differential equations

DOI10.1016/J.JMAA.2005.06.019zbMath1100.34012OpenAlexW2149609562MaRDI QIDQ2491666

Abdullah Özbekler, Ağacık Zafer

Publication date: 29 May 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.019

zbMATH Keywords

oscillationdampingimpulseLeightonSturm-PiconeWirtinger

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (11)

Sturmian theory for second order differential equations with mixed nonlinearities ⋮ Interval oscillation of a general class of second-order nonlinear impulsive differential equations with nonlinear damping ⋮ Forced oscillation of super-half-linear impulsive differential equations ⋮ Interval criteria for the forced oscillation of super-half-linear differential equations under impulse effects ⋮ Principal and nonprincipal solutions of impulsive differential equations with applications ⋮ Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations ⋮ Oscillation of second-order sublinear impulsive differential equations ⋮ A survey on oscillation of impulsive ordinary differential equations ⋮ A Sturm comparison criterion for impulsive hyperbolic equations ⋮ Sturmian comparison theory for half-linear and nonlinear differential equations via Picone identity ⋮ Picone type formula for half-linear impulsive differential equations with discontinuous solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Second-order quasilinear oscillation with impulses
• Sturmian comparison theory for linear and half-linear impulsive differential equations
• On delay differential equations with impulses
• Boundedness for impulsive delay differential equations and applications to population growth models.
• Impulsive control of a nuclear spin generator.
• Oscillations of second-order nonlinear impulsive ordinary differential equations.
• Linearized oscillation theory for a nonlinear delay impulsive equation.
• \(I\)-optimal curve for impulsive Lotka-Volterra predator-prey model
• Qualitative properties of solutions of second-order linear ODE with impulses
• The study of predator--prey system with defensive ability of prey and impulsive perturbations on the predator
• Global attractivity in a food-limited population model with impulsive effects
• Impulsive control of Rössler systems
• Impulsive resonance periodic problems of first order
• Sturmian comparison theory for impulsive differential inequalities and equations
• Oscillation theory
• TIME-DELAYED IMPULSIVE CONTROL OF CHAOTIC HYBRID SYSTEMS
• Less conservative conditions for asymptotic stability of impulsive control systems
• Comparison Theorems for Linear Differential Equations of Second Order

This page was built for publication: Picone's formula for linear non-selfadjoint impulsive differential equations