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Global attractivity of positive periodic solution for a Volterra model

Applied Mathematics and Computation, 2008
The authors study existence, uniqueness and global attractivity of positive periodic solution of a predator-prey system of Lotka-Volterra type with Holling type II functional response and also intraspecific competition of predators. The main methods involve a continuation theorem in the theory of coincidence degree and the classical Lyapunov second ...
Kai Wang, Yanling Zhu
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Positive periodic solutions for neutral functional differential equations

Applied Mathematics Letters, 2020
The present paper applies a fixed point theorem in the cone and some new analysis techniques to establish some sufficient conditions which guarantee the existence of positive periodic solutions for some neutral functional differential equations.
Weibing Wang, Jianhua Shen
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Positive Periodic Solutions of Coupled Singular Rayleigh Systems

Qualitative Theory of Dynamical Systems, 2020
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Kong, Fanchao   +2 more
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Positive periodic solutions of nonlinear functional differential equations

Applied Mathematics and Computation, 2004
The authors investigates the existence of positive periodic solutions for the first-order functional-differential equation \[ x'(t)= -a(t) x(t)+ f(t, x_t),\tag{\(*\)} \] where \(a(t)\) is a \(T\)-periodic function satisfying \[ \exp\Biggl(\int^T_0 a(u) du\Biggr)> 1, \] \(f(t, x_t)\) is a nonnegative function defined on \(\mathbb{R}\times BC\), where ...
Yongkun Li 0002, Lifei Zhu
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Positive periodic solution of a neutral predator-prey system

Applied Mathematics and Mechanics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence of positive solutions for period BVPs with Hilfer derivative

Journal of Applied Mathematics and Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teng Long, Chengfu Li, Jiawei He 0006
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On Positive Periodic Solutions for Nonlinear Delayed Differential Equations

Mediterranean Journal of Mathematics, 2015
Positive \(\omega-\)periodic solutions of the equation \[ \dot x(t) = a(t) g(x(t))x(t) - \lambda b(t) f[x(t-\tau(t))] \] are obtained under the assumption that \(a, b\) and \(\tau\) are nonnegative and \(\omega\)-periodic, and under less restrictive assumptions on the nonlinear functions \(f,g\) than in previous papers.
Hai, D. D., Qian, C.
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Positive doubly periodic solutions of nonlinear telegraph equations

Nonlinear Analysis: Theory, Methods & Applications, 2003
This interesting paper discusses the existence of (weak) solutions (i.e. understood in the distribution sense) to the nonlinear telegraph equation \[ u_{tt}- u_{x,x}+cu_t= -a(t, x)u+ b(t, x) f (t, x, u), \] \((t, x)\in \mathbb{R}^2\) being positive doubly periodic, i.e.
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Positive Periodic Solution for a Nonautonomous Delay Differential Equation

Acta Mathematicae Applicatae Sinica, English Series, 2003
By means of Krasnoselskii's fixed-point theorem, this paper explores the existence of one or multiple positive periodic solutions of nonautonomous differential equations with multiple time lags of the form \[ y'(t)=-a(t)y(t)+f(t,y(t-\tau_1(t)),\dots,y(t-\tau_n(t))) \] and \[ y'(t)=a(t)y(t)-f(t,y(t-\tau_1(t)),\dots,y(t-\tau_n(t))), \] where \(a\in C ...
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