Results 21 to 30 of about 10,898,866 (197)
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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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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Open Mathematics, 2018 The paper belongs to the qualitative theory of half-linear equations which are located between linear and non-linear equations and, at the same time, between ordinary and partial differential equations.
Hasil Petr, Veselý Michal
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Important Criteria for Asymptotic Properties of Nonlinear Differential Equations
Mathematics, 2021 In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject.
Ahmed AlGhamdi +2 more
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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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Optimal integrated passive/active design of the suspension system using iteration on the Lyapunov equations [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2015 In this paper, an iterative technique is proposed to solve linear integrated active/passive design problems. The optimality of active and passive parts leads to the nonlinear algebraic Riccati equation due to the active parameters and some associated ...
Mahyar Naraghi, Mojtaba Moradi
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Mathematics, 2023 The stability of nonlinear systems in the control domain has been extensively studied using different versions of the algebraic Riccati equation (ARE). This leads to the focus of this work: the search for the time-varying quaternion ARE (TQARE) Hermitian
Houssem Jerbi +6 more
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Half-linear Euler differential equation and its perturbations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
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