Positive periodic solutions of nonlinear differential systems with impulses

DOI10.1016/j.na.2007.01.066zbMath1162.34064OpenAlexW2007426063MaRDI QIDQ2479291

Li Yong Kun

Publication date: 26 March 2008

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.2007.01.066

zbMATH Keywords

fixed point theorempositive periodic solutionLotka-Volterra systemnonlinear impulsive differential equations

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (13)

Morse theory and local linking for a class of boundary value problems with impulsive effects ⋮ Existence of solutions for a class of second-order Hamiltonian systems with impulsive effects ⋮ On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions ⋮ The periodic solutions for general periodic impulsive population systems of functional differential equations and its applications ⋮ Existence of subharmonic solutions for a class of second-order \(p\)-Laplacian systems with impulsive effects ⋮ Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects ⋮ Three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses on time scales ⋮ Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales ⋮ Positive solutions of a nonlinear impulsive equation with periodic boundary conditions ⋮ Positive periodic solutions of functional differential equations with impulse on time scales ⋮ Existence and global attractivity of periodic solution for enterprise clusters based on ecology theory with impulse ⋮ Infinitely many solutions for a p-Laplacian boundary value problem with impulsive effects ⋮ Existence and global attractivity of positive periodic solutions for a two-species competitive system with stage structure and impulse

Cites Work

• Delay differential equations: with applications in population dynamics
• Fixed point theorems for mappings in ordered Banach spaces
• Global attractivity of the periodic Lotka-Volterra system
• Periodic solutions for delay Lotka-Volterra competition systems
• The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
• Impulsive resonance periodic problems of first order
• Lipschitz quasistability of impulsive differential-difference equations with variable impulsive perturbations
• Existence and multiplicity of positive periodic solutions to functional differential equations with impulse effects
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