Results 101 to 110 of about 19,301 (215)
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 +2 more
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Stochastic HJB Equations and Regular Singular Points [PDF]
, 2018 IIn this paper we show that some HJB equations arising from both finite and infinite horizon stochastic optimal control problems have a regular singular point at the origin. This makes them amenable to solution by power series techniques.
Krener, Arthur J.
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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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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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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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Rational Solutions of Riccati-like Partial Differential Equations
Journal of Symbolic Computation, 2001 The rational solutions to Riccati-like partial differential equations (for Riccati equations [see \textit{W. T. Reid}, Riccati differential equations, New York-London: Academic Press (1972; Zbl 0254.34003)]) are considered. These systems arise in a similar way as Riccati ODEs.
Li, Ziming, Schwarz, Fritz
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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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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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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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