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Riccati Differential Equations [PDF]
Includes bibliographical references and index.Front Cover; Riccati Differential Equations; Copyright Page; Contents; Preface; Chapter One. Scalar Riccati Differential Equations; Chapter Two.
Reid, William T.(William Thomas),1907 October 4-1977.
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We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
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Perturbations of Half-Linear Euler Differential Equation and Transformations of Modified Riccati Equation [PDF]
We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half-linear Euler differential equation.
Ondřej Došlý, Hana Funková
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Existence of Solutions of Riccati Differential Equations
A necessary condition for the existence of the solution of the Riccati differential equation for both linear, time varying systems and nonlinear systems is introduced. First, a necessary condition for the existence of the solution of the Riccati differential equation for linear, time varying systems is proposed.
Kilicaslan, Sinan, Banks, Stephen P.
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A Forgotten Differential Equation Studied by Jacopo Riccati Revisited in Terms of Lie Symmetries [PDF]
In this paper we present a two parameter family of differential equations treated by Jacopo Riccati, which does not appear in any modern repertoires and we extend the original solution method to a four parameter family of equations, translating the ...
Daniele Ritelli
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On the exact solution of the matrix Riccati differential equation* [PDF]
Abstract In this paper we establish explicit closed formulae for the solution of the matrix Riccati differential equation (RDE) with a terminal condition that that involve particular solutions of the associated algebraic Riccati equation. We discuss how these formulae change as assumptions are progressively weakened.
NTOGRAMATZIDIS L, FERRANTE, AUGUSTO
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A Collocation Method for Solving Fractional Riccati Differential Equation
We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk +3 more
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Rational solutions of Riccati differential equation with coefficients rational [PDF]
This paper presents a simple and efficient method for determining the rational solution of Riccati differential equation with coefficients rational. In case the differential Galois group of the differential equation , is reducible, we look for the rational solutions of Riccati differential equation , by reducing the number of checks to be made and by
Nadhem Echi
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Syntheses of differential games and pseudo-Riccati equations
For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solution
Yuncheng You
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Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation
This study presents families of the fourth-order Runge–Kutta methods for solving a quadratic Riccati differential equation. From these families, the England version is more efficient than other fourth-order Runge–Kutta methods and practically well-suited
Wendafrash Seyid Yirga +3 more
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