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A geometric approach to integrability conditions for Riccati equations
, 2007 Several instances of integrable Riccati equations are analyzed from the geometric perspective of the theory of Lie systems.
Cariñena, Jose F. +2 more
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Chandrasekhar equations for infinite dimensional systems [PDF]
Chandrasekhar equations are derived for linear time invariant systems defined on Hilbert spaces using a functional analytic technique. An important consequence of this is that the solution to the evolutional Riccati equation is strongly differentiable in
Ito, K., Powers, R. K.
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A note on the Riccati differential equation
Journal of Mathematical Analysis and Applications, 2003 The author presents some results for the Riccati differential equation \(u'=A(z)+u^2\) with nonentire meromorphic functions \(A(z)\). He also presents some examples to illustrate some of this results.
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A Note on the Riccati Differential Equation
Journal of Mathematical Analysis and Applications, 1995 The author treats the Riccati differential equation \[ w'= a(z)+ b(z) w+ c(z) w^ 2,\tag{1} \] where \(z\), \(w\) are complex variables and \(a(z)\), \(b(z)\) and \(c(z)\) are meromorphic on the whole \(z\)-plane. It is known that by a suitable transformation (1) can be transformed into the form (2) \(w'= A(z)+ w^ 2\), where \(A(z)\) is meromorphic on ...
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On one method of construction of symmetry operator C (in Ukrainian) [PDF]
Математичні Студії, 2012 The new method of construction of symmetry operator C, which is one of the principal notions of the pseudo-Hermitian quantum mechanics, is proposed. The method is based on solving Riccati operator equations.
V. I. Sudilovskaya
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A Contraction Analysis of the Convergence of Risk-Sensitive Filters
, 2013 A contraction analysis of risk-sensitive Riccati equations is proposed. When the state-space model is reachable and observable, a block-update implementation of the risk-sensitive filter is used to show that the N-fold composition of the Riccati map is ...
Levy, Bernard C., Zorzi, Mattia
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Abstract and Applied Analysis, 2014 We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation ...
E. M. E. Zayed, K. A. E. Alurrfi
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Meromorphic solutions to difference Painleve equations I and II
Electronic Journal of Differential Equations, 2016 In this article, we study the solutions of difference Painleve equations I and II. to do this, we first give some properties of solutions to difference Riccati equations.
Zhi-Tao Wen
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RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. [PDF]
Numer Math (Heidelb), 2018 Benner P +3 more
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On the matrix Riccati equation [PDF]
Proceedings of the American Mathematical Society, 1959 openaire +1 more source