Results 21 to 30 of about 8,509,903 (292)
Explicit error bounds for the α-quasi-periodic Helmholtz problem [PDF]
, 2013 This paper considers a finite element approach to modeling electromagnetic waves in a periodic diffraction grating. In particular, an a priori error estimate associated with the α-quasi-periodic transformation is derived.
Mulholland, Anthony +2 more
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Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]
, 1997 The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
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Entropy, 2022 In this paper, we study two types of second-order nonlinear differential equations with variable coefficients and mixed delays. Based on Krasnoselskii’s fixed point theorem, the existence results of positive periodic solution are established.
Zejian Dai, Bo Du
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Existence of positive periodic solutions of an SEIR model with periodic coefficients [PDF]
Applications of Mathematics, 2012 The paper deals with the SEIR epidemic model \[ S'=\Lambda (t)-\beta (t)S\,I-\mu (t)S, \] \[ E'=\beta (t)S\,I-(\mu (t)+\varepsilon (t))\,E, \] \[ I'=\varepsilon (t)E-(\mu (t)+\alpha (t)+\gamma (t))\,I, \] \[ R'=\gamma (t)I-\mu (t)R, \] where \(\Lambda ,\alpha ,\beta ,\gamma ,\varepsilon ,\mu \) are positive \(T\)-periodic continuous functions.
Zhang, Tailei, Liu, Junli, Teng, Zhidong
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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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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 periodic solutions for an integrodifferential model of mutualism
Applied Mathematics Letters, 2001 The paper deals with a system of two nonlinear integro-differential equations of first order which presents a model of mutualism. The ecological meaning of such type systems may be found in the book by \textit{K. Gopalsamy} [Stability and oscillations in delay differential equations of population dynamics (1992; Zbl 0752.34039)].
Yongkun Li 0002, Guitong Xu
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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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Nonlinear Analysis, 2019 In this paper, we consider a cholera model with periodic incidence rate and saturated treatment function. Under certain conditions, we establish a criterion on the global exponential stability of positive periodic solutions for this model by using a ...
Hongzheng Quan +2 more
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