Results 71 to 80 of about 1,048 (181)
Quaternionic-valued ordinary differential equations. The Riccati equation
Journal of Differential Equations, 2009 The paper uses Poincaré's operator and finite-dimensional fixed point theory to obtain existence and multiplicity results for the T-periodic solutions \(q(t)\) of quaternionic-valued equations of the form \[ \dot q = qa(t)q + b(t)q + qd(t) + c(t), \] where \(a, b, c : \mathbb R \to \mathbb H\) are T-periodic continuous quaternionic-valued functions ...
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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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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.
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Rational solutions of Riccati differential equation with coefficients rational [PDF]
Applied Mathematics and Computation, 2011 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
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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 +2 more
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Oscillation of a time fractional partial differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We consider a time fractional partial differential equation subject to the Neumann boundary condition. Several sufficient conditions are established for oscillation of solutions of such equation by using the integral averaging method and a generalized ...
P. Prakash +3 more
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Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation
Abstract and Applied AnalysisThis 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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Abstract and Applied Analysis, 2013 Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient ...
Mervan Pašić
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Boundary Value ProblemsThe 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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Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping
Abstract and Applied Analysis, 2009 All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third-order linear differential equations are employed. Implications in the deflection of elastic
Chengmin Hou, Sui Sun Cheng
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