Results 21 to 30 of about 9,017,418 (195)
On solving periodic Riccati equations [PDF]
, 2008 Numerically reliable algorithms to compute the periodic non-negative definite stabilizing solutions of the periodic differential Riccati equation (PRDE) and discrete-time periodic Riccati equation (DPRE) are proposed. For the numerical solution of PRDEs,
A. Varga, Varga, Andreas
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Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System [PDF]
Discrete Dynamics in Nature and Society, 2015 A discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition, an example and numerical simulations are presented to illustrate and substantiate the results of ...
Heping Ma, Jianguo Gao, Lingling Xie
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Positive periodic solutions of a delayed model in population
Applied Mathematics Letters, 2003 The authors consider a generalization of some population growth model in the form of a logistic equation with a countable number of delayed terms. This generalization is due to the presence of nonconstant periodic delays and of a convolution term. The authors prove the existence of a positive periodic solution by using the coincidence degree argument.
Chang-Jian Zhao +2 more
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On solving discrete-time periodic Riccati equations [PDF]
, 2005 Two numerically reliable algorithms to compute the periodic nonnegative definite stabilizing solution ofdiscrete-time periodic Riccati equations are proposed.
A. Varga, Varga, Andras
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Positive Periodic Solution of Second-Order Coupled Systems with Singularities
Abstract and Applied Analysis, 2013 This paper establishes the existence of periodic solution for a kind of second-order singular nonautonomous coupled systems. Our approach is based on fixed point theorem in cones. Examples are given to illustrate the main result.
Tiantian Ma
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Positive periodic solution for indefinite singular Liénard equation with p-Laplacian
Advances in Difference Equations, 2019 The efficient conditions guaranteeing the existence of positive T-periodic solution to the p-Laplacian–Liénard equation (ϕp(x′(t)))′+f(x(t))x′(t)+α1(t)g(x(t))=α2(t)xμ(t), $$\bigl(\phi _{p}\bigl(x'(t)\bigr) \bigr)'+f \bigl(x(t)\bigr)x'(t)+\alpha _{1}(t)g ...
Tiantian Zhou, Bo Du, Haiqing Du
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Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper, we investigate the following Schrödinger equation \begin{equation*} -\Delta u+V(x)u=\lambda f(u) \quad {\rm in} \ \mathbb{R}^N, \end{equation*} where $N\geq 3$, $\lambda>0$, $V$ is an asymptotically periodic potential and the nonlinearity
Gui-Dong Li, Yong-Yong Li, Chun-Lei Tang
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A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
, 2009 Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
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Positive almost periodic type solutions to a class of nonlinear difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper is concerned with positive almost periodic type solutions to a class of nonlinear difference equation with delay. By using a fixed point theorem in partially ordered Banach spaces, we establish several theorems about the existence and ...
Huisheng Ding +2 more
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Mathematics, 2022 In this article, we deal with some new existence results for positive periodic solutions for a class of neutral functional differential equations by employing Krasnoselskii’s fixed-point theorem and the properties of a neutral operator.
Lingping Zhang, Bo Du
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