POSITIVE PERIODIC SOLUTIONS FOR A NONLINEAR DIFFERENTIAL SYSTEM WITH TWO PARAMETERS

DOI10.11948/20200014zbMath1473.34035OpenAlexW3111502741MaRDI QIDQ5165248

Ruixiong Fan, Cheng-Bo Zhai

Publication date: 16 November 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20200014

zbMATH Keywords

positive periodic solutionsexistence and uniquenessdifferential system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Green's functions for ordinary differential equations (34B27) Periodic solutions to functional-differential equations (34K13) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Existence and uniqueness of positive periodic solutions for a first-order functional differential equation
• Existence and global asymptotical stability of periodic solution for the \(T\)-periodic logistic system with time-varying generating operators and \(T_{0}\)-periodic impulsive perturbations on Banach spaces
• Existence of periodic solutions for \(p\)-Laplacian equations on time scales
• Existence of maximal and minimal periodic solutions for first-order functional differential equations
• Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments
• Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions
• Positive periodic solutions of second-order differential equations with weak singularities
• Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem
• Positive periodic solution to superlinear neutral differential equation with time-dependent parameter
• Positive periodic solutions for Lotka-Volterra systems with a general attack rate
• Positive periodic solutions to a system of nonlinear differential equations with applications to Lotka-Volterra-type ecological models with discrete and distributed delays
• Existence and uniqueness of positive periodic solutions for a class of integral equations with mixed monotone nonlinear terms
• A vector version of Krasnosel'skiĭ's fixed point theorem in cones and positive periodic solutions of nonlinear systems
• Existence of positive periodic solutions for second-order functional differential equations

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