Results 91 to 100 of about 2,466,055 (210)

Riccati’s differential equation in birth-death processes

Trabajos de Estadistica Y de Investigacion Operativa, 1985
Summary: This note reviews the occurrence of Riccati's equation in three birth- death type processes, and outlines their solutions.
openaire   +3 more sources

Oscillation criteria for nonlinear fractional differential equation with damping term

Open Physics, 2016
In this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a
Bayram Mustafa, Adiguzel Hakan, Secer Aydin   +2 more
doaj   +1 more source

On solving a linear control problem

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
The problem of a linear regulator is considered. There is a system of linear differential equations with a quadratic control quality criterion. The method of dynamic programming is applied to the solution of the considered linear problem.
M. Muhtarov, A.H. Kalidolday
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Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE

Electronic Journal of Differential Equations, 2010
A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami, Milivoj R. Belic, Nikola Z. Petrovic   +2 more
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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.
core  

Riccati differential equation with continued fractions

, 2011
Polynomials, trigonometric and hyperbolic functions, logarithms, square roots, Riccati differential equation, continued fractions, Taylor or Fourier seriesExplore the solutions of the Riccati differential equation with continued fractions, which provide ...
Lauschke, Andreas
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Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

Abstract and Applied Analysis
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, Fasika Wondimu Gelu, Wondwosen Gebeyaw Melesse, Gemechis File Duressa   +3 more
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Riccati Differential Equations [PDF]

Journal of Dynamic Systems, Measurement, and Control, 1975
William T. Reid, David Jordan
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Riccati differential equation with continued fractions

, 2016
Polynomials, trigonometric and hyperbolic functions, logarithms, square roots, Riccati differential equation, continued fractions, Taylor or Fourier seriesExplore the solutions of the Riccati differential equation with continued fractions, which provide ...
Lauschke, Andreas
core   +2 more sources

Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term

Boundary Value Problems
The oscillatory behavior of solutions of an even-order differential equation with a superlinear neutral term is considered using Riccati and generalized Riccati transformations, the integral averaging technique, and the theory of comparison.
A. A. El-Gaber
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