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Quantum Painlev\'e II solution and Approximated analytic solution of the Yukawa Potential
, 2014 We show that one dimensional non-stationary Schr\"odi-nger equation with a specific choice of potential reduces to the quantum Painlev\'e II equation and the solution of its Riccati form appears as a dominant term of that potential. Further, we show that
Mahmood, Irfan
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Attitude Control of Spacecraft by State Dependent Riccati Equation and Power Series Expansion of Riccati Methods [PDF]
فصلنامه علوم و فناوری فضایی, 2015 Attitude control of spacecraft in order to nonlinear and high order dynamics is fundamental and challenging issue. With respect to these nonlinearities, linear control theories are not suitable choices and spacecraft may be unstable or lose performance ...
M. Navabi, M. Tavana, H.R. Mirzaei
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Open Mathematics, 2015 This paper concerns the oscillation problem of second-order nonlinear damped ODE with functional terms.We give some new interval oscillation criteria which is not only based on constructing a lower solution of a Riccati type equation but also based on ...
Öǧrekçi Süleyman
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Chandrasekhar equations for infinite dimensional systems [PDF]
Chandrasekhar equations are derived for linear time invariant systems defined on Hilbert spaces using a functional analytic technique. An important consequence of this is that the solution to the evolutional Riccati equation is strongly differentiable in
Ito, K., Powers, R. K.
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A note on the Riccati differential equation
Journal of Mathematical Analysis and Applications, 2003 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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A Collocation Method for Solving Fractional Riccati Differential Equation
Journal of Applied Mathematics, 2013 We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk +3 more
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A Note on the Riccati Differential Equation
Journal of Mathematical Analysis and Applications, 1995 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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Meromorphic solutions to difference Painleve equations I and II
Electronic Journal of Differential Equations, 2016 In this article, we study the solutions of difference Painleve equations I and II. to do this, we first give some properties of solutions to difference Riccati equations.
Zhi-Tao Wen
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An exponential spline for solving the fractional riccati differential equation
پژوهشهای ریاضی, 2022 In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is ...
reza jalilian, hooman emadifar
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Convergence of Galerkin approximations for operator Riccati equations: A nonlinear evolution equation approach [PDF]
An approximation and convergence theory was developed for Galerkin approximations to infinite dimensional operator Riccati differential equations formulated in the space of Hilbert-Schmidt operators on a separable Hilbert space.
Rosen, I. G.
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