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THREE POSITIVE PERIODIC SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS

Analysis and Applications, 2005
We establish the existence of at least three positive periodic solutions to the second order differential equation with periodic coefficients [Formula: see text] where f is continuous with f(t + T, x) = f(t,x) for (t,x) ∊ R × R and T > 0, p, q are continuous and T-periodic with p > 0 and q ≥ 0.
Liu, Yuji, Ge, Weiguo, Gui, Zhanji
openaire   +1 more source

Existence of positive almost periodic solutions to the hematopoiesis model

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toka Diagana, Hui Zhou 0001
openaire   +3 more sources

Existence and global stability of positive periodic solution of periodic integrodifferential systems with feedback controls [PDF]

open access: yesComputers and Mathematics With Applications, 2000
Sufficient conditions are obtained for the existence and global stability of a positive periodic solution in some periodic integrodifferential systems with feedback controls by using the technique of coincidence degree and Lyapunov ...
Weng, Peixuan
exaly   +2 more sources

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\
Ruipeng Chen, Ruyun Ma, Zhiqian He
openaire   +2 more sources

Positive periodic solutions for a class of delay differential equations

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhijie Nan, Weijun Chen, Lin Li
openaire   +3 more sources

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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On Positive Periodic Solutions to Impulsive Differential Equations with Delays

Results in Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Jianli, Shen, Jianhua
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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
openaire   +3 more sources

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
openaire   +2 more sources

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