POSITIVE PERIODIC SOLUTIONS OF THE NONLINEAR PARABOLIC EQUATION
Far East Journal of Dynamical Systems, 2007 In this paper we prove that the equation where is fixed constant, has unique positive solution which is ω-periodic with respect to the time variable t and are fixed constants, The period is arbitrary chosen and fixed.
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The existence of positive periodic solutions of a generalized
Mathematical Biosciences and Engineering, 2008 In this paper, the existence of positive periodic solutions of aclass of periodic $n$-species Gilpin-Ayala impulsive competitionsystems is studied. By using the continuation theorem ofcoincidence degree theory, a set of easily verifiable sufficientconditions is obtained. Our results are general enough to includesome known results in this area.
Meili Li, Maoan Han, Chunhai Kou
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On solving periodic differential matrix equations with applications to periodic system norms computation [PDF]
, 2005 Periodic Lyapunov, Sylvester and Riccati differ- ential equations have many important applications in the analysis and design of linear periodic control systems.
Varga, Andreas
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Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses [PDF]
, 2013 summary:In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient ...
Xu, Changjin +2 more
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Positive periodic solutions for second-order neutral differential equations with functional delay
Electronic Journal of Differential Equations, 2012 We use Krasnoselskii's fixed point theorem to prove the existence of positive periodic solutions of the second-order nonlinear neutral differential equation $$ frac{d^2}{dt^2}x(t)+p(t)frac{d}{dt}x(t)+q(t)x(t) =cfrac{d}{dt}x(t-au(t))+f(t,h(x(t)),g(x ...
Ernest Yankson
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Discrete Dynamics in Nature and Society, 2006 A nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses is investigated. For general nonautonomous case, positive invariance, permanence, and globally asymptotic stability for the system are studied.
Hai-Feng Huo, Wan-Tong Li
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Existence and global attractivity of positive almost periodic solutions for a kind of fishing model with pure-delay [PDF]
, 2017 summary:By using some analytical techniques, modified inequalities and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of at least one positive almost periodic solution of a kind of fishing model ...
Tianwei Zhang +3 more
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Subharmonic bouncing solutions of generalized Lazer–Solimini equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The paper deals with the singular differential equation $x'' + g(x) = p(t)$, with $g$ having a weak singularity at $x=0$ and $2\pi$-periodic function $p$.
Jan Tomeček, Věra Krajščáková
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Computational Methods for Periodic Systems - An Overview [PDF]
, 2001 We present an up-to-date survey of numerical methods for the analysis and design of linear discrete-time periodic systems. The basic tool is the periodic Schur form and its variants, for which a certain form of numerical stability can be ...
IFAC Workshop on Periodic Control Systems (PSYCO 2001) +3 more
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New results on positive almost periodic solutions for first-order neutral differential equations
Advances in Difference Equations, 2018 In this paper, a class of first-order neutral differential equations with time-varying delays and coefficients is considered. Some results on the existence of positive almost periodic solutions for the equations are obtained by using the contracting ...
Yuehua Yu, Shuhua Gong
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