A new existence theory for single and multiple positive periodic solutions to Volterra integro-differential equations with impulse effects

DOI10.1016/j.camwa.2005.09.002zbMath1098.45010OpenAlexW2065725322MaRDI QIDQ2494706

Xiaoyue Li, Xiaoying Zhang, Daqing Jiang, Ke Wang

Publication date: 30 June 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.09.002

zbMATH Keywords

existencepositive periodic solutionimpulseVolterra integro-differential equationKrasnoselskii fixed point theorem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Periodic solutions of integral equations (45M15) Positive solutions of integral equations (45M20)

Related Items (5)

Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control ⋮ On positive periodic solutions of nonlinear impulsive functional differential equations ⋮ Analysis of a lagoon ecological model with anoxic crises and impulsive harvesting ⋮ On positive periodic solutions to third-order integro-differential equations with distributed delays ⋮ Some new results for BVPs of first-order nonlinear integro-differential equations of Volterra type

Cites Work

• Positive solutions of semilinear differential equations with singularities
• Stability under persistent disturbances of impulsive differential- difference equations of neutral type
• Basic theory for nonresonance impulsive periodic problems of first order
• Global attractivity and uniform persistence in Nicholson's blowflies
• Existence and global attractivity of periodic solution of a model in population dynamics
• Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays
• The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
• Periodic boundary value problems for first-order impulsive ordinary differential equations
• Existence results for impulsive second-order periodic problems
• Exponential stability of linear delay impulsive differential equations
• The nonoscillatory solutions of delay differential equations with impulses
• EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
• Oscillation and Chaos in Physiological Control Systems
• Existence of positive periodic solutions for Volterra integro-differential equations.
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