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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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Positive periodic solutions of first-order singular systems

Applied Mathematics and Computation, 2012
This paper deals with existence and the number of periodic solutions of the first order system \[ u'_i(t)=-a_i(t)u_i(t)+\lambda b_i(t)f_i(\vec u(t)),\quad i=1,\,\dots,\,n\eqno(1) \] where \(\vec u=(u_1,\,\dots,\,u_n)\in{\mathbb R}^n\), \(a_i\) and \(b_i\) are continuous \(T\)-periodic functions with positive mean value in a period, \(f_i: {\mathbb R}^n\
Chen, Ruipeng, Ma, Ruyun, He, Zhiqian
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Positive periodic solutions of periodic neutral Lotka–Volterra system with distributed delays

Chaos, Solitons & Fractals, 2008
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Periodic Solutions of Nonlinear Problems with Positive Oriented Periodic Coefficients

2002
We study nonlinear ODE problems in the complex Euclidean space, with the right hand side being a complex analytic function of the space variable z with nonconstant periodic coefficients in the time variable t. As the coefficients functions we admit only functions with vanishing Fourier coefficients for negative indices.
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Positive periodic solutions of a periodic survival red blood cell model

Applicable Analysis, 2005
By using the continuation theorem of coincidence degree theory by Gaines and Mawhin, a sufficient and realistic condition is obtained for the existence of a periodic survival red blood cell model.
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Positive periodic solutions to super-linear second-order ODE

Czechoslovak Mathematical Journal
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