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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Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations
Fractal and Fractional, 2021 In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions.
Alanoud Almutairi +4 more
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Transform of Riccati equation of constant coefficients through fractional procedure [PDF]
Journal of Physics A: Mathematical and General, 2003 7 pages, 2 ...
Rosu, H. C. +2 more
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Oscillation criteria for nonlinear delay differential equations of second order
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We prove oscillation theorems for the nonlinear delay differential equation $\left( \left\vert y^{\prime }(t)\right\vert ^{\alpha -2}y^{\prime}(t)\right) ^{\prime }+q(t)\left\vert y(\tau (t))\right\vert ^{\beta-2}y(\tau (t))=0, t\geq t_{\ast }>0,$ where
Devrim Cakmak, Aydin Tiryaki
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On higher-order Riccati equations as Bäcklund transformations
Journal of Physics A: Mathematical and General, 1999 Summary: We illustrate by few examples the special role played by higher-order Riccati equations in the construction of Bäcklund transformations for integrable systems.
Grundland AM, LEVI, Decio
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Oscillatory behavior of second-order nonlinear neutral differential equations
Advances in Difference Equations, 2020 We shall consider a class of second-order nonlinear neutral differential equations. Some new oscillation criteria are established by using the Riccati transformation technique. One example is given to show the applicability of the main results.
Jun Liu, Xi Liu, Yuanhong Yu
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New oscillation results to fourth order delay differential equations with damping
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper is concerned with the oscillation of the linear fourth order delay differential equation with damping \begin{equation*} \left(r_3(t)\left(r_2(t)\left(r_1(t)y'(t)\right)'\right)'\right)'+p(t)y'(t)+q(t)y(\tau(t))=0 \end{equation*} under the ...
Jozef Džurina +2 more
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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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Lie and Riccati Linearization of a Class of Liénard Type Equations
Journal of Applied Mathematics, 2012 We construct a linearizing Riccati transformation by using an ansatz and a linearizing point transformation utilizing the Lie point symmetry generators for a three-parameter class of Liénard type nonlinear second-order ordinary differential equations ...
A. G. Johnpillai +2 more
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Riccati matrix differential equation and the discrete order preserving property [PDF]
, 2023 summary:In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential ...
Štoudková Růžičková, Viera
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