Results 231 to 240 of about 96,168 (247)

Positive periodic solutions of nonlinear differential equations

Applied Mathematics-A Journal of Chinese Universities, 2003
The authors prove the existence of at least two positive periodic solutions for a first-order scalar differential equation whose nonlinearity presents some kind of oscillating behaviour.
Liu, Yuji, Ge, Weigao
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Multiple positive solutions for nonlinear periodic problems

Nonlinear Analysis: Theory, Methods & Applications, 2010
The authors discuss the existence and the multiplicity of positive solutions to the following \(p\)-Laplacian periodic problem: \[ \begin{cases} -(| x'(t)|^{p-2}x'(t))'=f(t,x(t)), \quad ...
Hu, Shouchuan, Papageorgiou, Nikolas S.
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Existence of positive periodic solutions for a periodic logistic equation

Applied Mathematics and Computation, 2003
The paper deals with existence of \(\omega\)-periodic solutions for the following generalized logistic equations: \[ x'(t)=\pm x(t)\left[f\left(t, \int_{-r(t)}^{-\sigma(t)}x(t+s) d\mu(t,s)\right)-g(t, x(t-\tau(t, x(t))))\right], \] where \(\sigma,r\in C(\mathbb{R},(0,\infty))\) are \(\omega\)-periodic functions with \(\sigma(t)
Fan, Guihong, Li, Yongkun
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Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem

Journal of Dynamics and Differential Equations, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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STABLE POSITIVE PERIODIC SOLUTION OF TIME DEPENDENT LOTKA-VOLTERRA PERIODIC MUTUALISTIC SYSTEM

Acta Mathematica Scientia, 1994
The main result of this paper is: Consider a Lotka-Volterra mutualistic system in a periodic environment, \(dx_ i/dt = x_ i\) \((r_ i(t) + \sum^ n_{j = 1} a_{ij} (t)x_ j)\) \((i = 1, \dots, n)\), with \(a_{ii} (t) < 0\) and \(a_{ij} (t) \geq 0\) \((i \neq j)\) and with \(\omega\)-periodic \((0 < \omega < + \infty)\) functions \(r_ i (t)\) and \(a_{ij} (
Cui, Jing'an, Chen, Lansun
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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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POSITIVE PERIODIC SOLUTIONS OF PREDATOR-PREY SYSTEMS WITH INFINITE DELAY

Chinese Annals of Mathematics, 2000
Conditions for the existence of positive periodic solutions to a nonautonomous non-convolution predator-prey system with infinite delay \[ \begin{aligned} x'(t) &= x(t)[a(t)-b(t)x(t)-c(t)y(t)],\\ y'(t) &= y(t)[-d(t)+\int_{-\infty}^{t} K(s,t,x(s),x(t)) ds], \end{aligned} \] under certain assumptions on the functions \(K,a,b,c,d\) are given.
Wang, Ke, Fan, Meng
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The periodic Riccati equation: Existence of a periodic positive sernidefinite solution

26th IEEE Conference on Decision and Control, 1987
In this paper, the existence of a positive semidefinite periodic solution of the periodic Riccati differential equation is dealt with. Precisely, a necessary and sufficient condition is given in terms of the asymptotic stability of the observable and uncontrollable part of the underlying system.
S. Bittanti, P. Colaneri, G. Nicolao
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