A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods [PDF]
Abstract and Applied Analysis, 2012 We introduce a new method for solving Riccati differential equations, which is based on reproducing kernel method and quasilinearization technique. The quasilinearization technique is used to reduce the Riccati differential equation to a sequence of ...
F. Z. Geng, X. M. Li
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Local estimates for modified Riccati equation in theory of half-linear differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory
Mathematics, 2023 The key objective of the current work is to examine the behavior of the nonlinear fractional Riccati differential equation associated with the Caputo–Prabhakar derivative.
Jagdev Singh +2 more
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International Journal of Differential Equations, 2015 We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian ...
Jafar Biazar, Mohsen Didgar
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Riccati Technique and Asymptotic Behavior of Fourth-Order Advanced Differential Equations [PDF]
Mathematics, 2020 In this paper, we deal with the oscillation of fourth-order nonlinear advanced differential equations of the form r t y ‴ t α ′ + p t f y ‴ t + q t g y σ t = 0 .
Omar Bazighifan, Ioannis Dassios
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On oscillatory behaviour of third-order half-linear dynamic equations on time scales [PDF]
Opuscula Mathematica, 2022 In this work, we study the oscillation and asymptotic behaviour of third-order nonlinear dynamic equations on time scales. The findings are obtained using an integral criterion as well as a comparison theorem with the oscillatory properties of a first ...
Said R. Grace, Gokula Nanda Chhatria
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Nonoscillation of damped linear differential equations with a proportional derivative controller and its application to Whittaker-Hill-type and Mathieu-type equations [PDF]
Opuscula Mathematica, 2022 The proportional derivative (PD) controller of a differential operator is commonly referred to as the conformable derivative. In this paper, we derive a nonoscillation theorem for damped linear differential equations with a differential operator using ...
Kazuki Ishibashi
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Riccati techniques and discrete oscillations
Journal of Mathematical Analysis and Applications, 1989 The paper deals with the oscillatory and nonoscillatory properties of the self-adjoint second-order difference equation \(\Delta (r_ n\Delta x_ n)+p_ nx_{n+1}=0,\) \(n\geq 0\) where \(\Delta\) is the forward difference operator \(\Delta x_ n=x_{n+1}-x_ n,\) and \(r_ n,p_ n\) are sequences of real numbers with \(r_ n>0,\) \(n=0,1,2\).
Chen, Shaozhu, Erbe, Lynn H.
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Robust INS/GPS sensor fusion for UAV localization using SDRE nonlinear filtering [PDF]
, 2009 For publication in IEEE Sensors JournalThe aim of this paper is to present a new INS/GPS sensor fusion scheme, based on State-Dependent Riccati Equation (SDRE) nonlinear filtering, for Unmanned Aerial Vehicle (UAV) localization problem.
Aouf, Nabil, Aouf, N., Nemra, A.
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Approximate Analytical Solution for Quadratic Riccati Differential Equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 In this paper, we introduce an efficient method for solving the quadratic Riccati differential equation. In this technique, combination of Laplace transform and new homotopy perturbation methods (LTNHPM) are considered as an algorithm to the exact ...
H. Aminikhah
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