On the global stability of a nonlinear functional differential equation with pulse action

DOI10.1007/S11072-007-0019-8zbMath1268.34136OpenAlexW2069347885WikidataQ115381630 ScholiaQ115381630MaRDI QIDQ355432

O. I. Nenya, Victor I. Tkachenko

Publication date: 24 July 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-007-0019-8

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Existence and continuability of solutions for differential equations with delays and state-dependent impulses
• Explicit conditions of exponential stability for a linear impulsive delay differential equation
• Global attractivity in a food-limited population model with impulsive effects
• Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima
• Stability of nonlinear delay differential equations with impulses
• Stability of impulsive infinite delay differential equations
• Asymptotic behavior of solutions of nonlinear impulsive delay differential equations with positive and negative coefficients
• GLOBAL ATTRACTIVITY IN A DELAY POPULATION MODEL UNDER IMPULSIVE PERTURBATIONS
• A Global Stability Criterion for Scalar Functional Differential Equations
• A global stability criterion for a family of delayed population models
• Interaction of maturation delay and nonlinear birth in population and epidemic models
• Explicit conditions for stability of nonlinear scalar delay differential equations with impulses
• Stability for nonlinear delay differential equations of unstable type under impulsive perturbations

This page was built for publication: On the global stability of a nonlinear functional differential equation with pulse action