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Riccati's Nonlinear Differential Equation
The American Mathematical Monthly, 1960(1960). Riccati's Nonlinear Differential Equation. The American Mathematical Monthly: Vol. 67, No. 2, pp. 134-139.
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APPROXIMATE SOLUTION TO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS
Fractals, 2019In this paper, quadratic Riccati differential equation of fractional order has been solved by employing the optimal homotopy asymptotic method (Optimal HAM) with application to random processes, optimal control and diffusion problems. Optimal HAM uses simple computations with quite acceptable approximate solutions which have close agreement with exact
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On the solution of a class of the reduced wave equation and the Riccati differential equation
Applied Mathematics and Computation, 2010The general solution of the linear differential equation \[ z''=\lambda_0 z \] is studied provided that the infinitely continuously differentiable function \(\lambda_0\) satisfies certain conditions. More precisely, let \(\lambda_1=\lambda_0^\prime\) and define iteratively \(\lambda_{2n-1}=\lambda_0\lambda_{2n-4}+\lambda_{2n-3}^\prime\) for \(n=2,3,4 ...
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Riccati Differential Equations
IEEE Transactions on Systems, Man, and Cybernetics, 1977William T. Reid, M. R. Chidambara
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On Solutions of Certain Riccati Differential Equations
Mathematics Magazine, 1966(1966). On Solutions of Certain Riccati Differential Equations. Mathematics Magazine: Vol. 39, No. 3, pp. 141-143.
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The Riccati Equation, Differential Transform, Rational Solutions and Applications
Applied Mathematics, 2022exaly
On the solution of the Riccati differential equation arising from the LQ optimal control problem
Systems and Control Letters, 2010Lorenzo Ntogramatzidis +1 more
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