Results 111 to 120 of about 4,737,365 (276)
A note on the Riccati differential equation
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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Computation of General Inner-Outer and Spectral Factorizations [PDF]
In this paper, we solve two problems in linear systems theory: the computation of the inner-outer and spectral factorizations of a continuous-time system considered in the most general setting.
Varga, A., Oara, C.
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Special factorization and Riccati integral equations [PDF]
A class of operator Riccati integral equations is associated with a factorization problem in a certain Banach algebra. Recent results concerning factorization in this algebra are used to obtain existence, uniqueness, and continuous dependence results for
Milman, Mark
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Oscillation of third-order neutral differential equations with damping and distributed delay
The present paper focuses on the oscillation of the third-order nonlinear neutral differential equations with damping and distributed delay. The oscillation of the third-order damped equations is often discussed by reducing the equations to the second ...
Meihua Wei, Cuimei Jiang, Tongxing Li
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The Open-Loop Linear Quadratic Differential Game Revisited [PDF]
In this note we reconsider the indefinite open-loop Nash linear quadratic differential game with an infinite planning horizon.In particular we derive both necessary and sufficient conditions under which the game will have a unique equilibrium.linear ...
Engwerda, J.C.
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Lie and Riccati Linearization of a Class of Liénard Type Equations
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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Generalized Riccati difference and differential equations [PDF]
In this paper we investigate generalized Riccati differential and difference equations obtained from standard Riccati equations by adding a semidefinite perturbation term. For such equations we give results on the monotonic dependence of the solutions on
G. Jank +8 more
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Schwarzian derivative in higher-order Riccati equations
The Sturm-Liouville equation represents the linearized form of the first-order Riccati equation. This provides an evidence for the connection between Schwarzian derivative and this first-order nonlinear differential equation.
Chatterjee, Supriya +2 more
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A Note on the Riccati Differential Equation
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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Regularity results for nonlocal fully nonlinear elliptic equations [PDF]
Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
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