Asymptotic behavior of second-order impulsive differential equations
In this article, we study the asymptotic behavior of all solutions of 2-th order nonlinear delay differential equation with impulses. Our main tools are impulsive differential inequalities and the Riccati transformation.
Haifeng Liu, Qiaoluan Li
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Oscillation of a Class of Fractional Differential Equations with Damping Term
We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with ...
Huizeng Qin, Bin Zheng
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Computation of Inner-Outer Factorizations of Rational Matrices [PDF]
In this paper we propose a new numerically reliable computational approach to determine the inner-outer factorization of a rational transfer matrix G of a linear descriptor system.
A. Varga, Andras Varga, Varga, A.
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On the Oscillation for Second-Order Half-Linear Neutral Delay Dynamic Equations on Time Scales
We discuss oscillation criteria for second-order half-linear neutral delay dynamic equations on time scales by using the generalized Riccati transformation and the inequality technique. Under certain conditions, we establish four new oscillation criteria.
Quanxin Zhang, Xia Song
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Oscillation of solutions to impulsive dynamic equations on time scales
In this article, we study the oscillation of second order impulsive dynamic equations on time scales. The effect of the moments of impulse are fixed.
Qiaoluan Li, Fang Guo
doaj
Oscillation criteria of certain fractional partial differential equations
In this article, we regard the generalized Riccati transformation and Riemann–Liouville fractional derivatives as the principal instrument. In the proof, we take advantage of the fractional derivatives technique with the addition of interval segmentation
Di Xu, Fanwei Meng
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Giordano Riccati e le enciclopedie del Settecento
Viene presentato il contributo di Giordano Riccati al progetto della Nuova Enciclopedia Italiana elaborato a Ferrara dell'abate veneziano Alessandro Zorzi. Nel Prodromo dell'Enciclopedia, stampato a Siena nel 1779, si trova inserito un lungo articolo del
PATERGNANI, Elisa
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Balanced state-space representations: a polynomial algebraic approach
We show how to compute a minimal Riccati-balanced state map and a minimal Riccati-balanced state space representation starting from an image representation of a strictly dissipative system.
Rapisarda, Paolo, Trentelman, Harry L.
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Convergence analysis of structure-preserving doubling algorithms for Riccati-type matrix equations
[[abstract]]In this paper, we introduce the doubling transformation, a structure-preserving transformation for symplectic pencils, and present its basic properties.
Lin, WW;Xu, SF
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A Numerical Algorithm to find Soft-Constrained Nash Equilibria in Scalar LQ-Games [PDF]
In this paper we provide a numerical algorithm to calculate all soft-constrained Nash equilibria in a regular scalar indefinite linear-quadratic game.The algorithm is based on the calculation of the eigenstructure of a certain matrix.The analysis follows
Engwerda, J.C.
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