Results 31 to 40 of about 9,613,117 (241)
An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]
, 2006 In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, N., Schaft, A.J. van der
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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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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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General Matrix Pencil Techniques for Solving Discrete-Time Nonsymmetric Algebraic Riccati Equations [PDF]
SIAM Journal on Matrix Analysis and Applications, 2010 A discrete-time nonsymmetric algebraic Riccati system which incorporates as special cases of various discrete-time nonsymmetric algebraic Riccati equations is introduced and studied without any restrictive assumptions on the matrix coefficients. Necessary and sufficient existence conditions together with computable formulas for the stabilizing solution
Jungers, Marc +3 more
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Conditional oscillation of half-linear Euler-type dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a constant given by the ...
Petr Hasil, J. Vítovec
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The calculation of expectations for classes of diffusion processes by Lie symmetry methods [PDF]
, 2009 This paper uses Lie symmetry methods to calculate certain expectations for a large class of It\^{o} diffusions. We show that if the problem has sufficient symmetry, then the problem of computing functionals of the form $E_x(e^{-\lambda X_t-\int_0^tg(X_s)
Craddock, Mark, Lennox, Kelly A.
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Riccati Techniques and Approximation for a Second-Order Poincaré Difference Equation
Journal of Mathematical Analysis and Applications, 1998 Approximation results are obtained via a discrete analog of Riccati method for second-order selfadjoint difference equations and applied to the following second-order Poincaré difference equation \[ z_{n+2}-t(2+b_n)z_{n+1}+t^2 (1+c_n)z_n=0,\quad t\neq 0 \] (\(b_n,c_n\) are real numbers) whose unperturbed equation has a double characteristic root.
Chen, Shaozhu, Wu, Chunqing
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Fractal and Fractional, 2022 In this article, a hybrid numerical technique combining the Laplace transform and residual power series method is used to construct a series solution of the nonlinear fractional Riccati differential equation in the sense of Caputo fractional derivative ...
Aliaa Burqan, Aref Sarhan, Rania Saadeh
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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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The development of the deterministic nonlinear PDEs in particle physics to stochastic case
Results in Physics, 2018 In the present work, accuracy method called, Riccati-Bernoulli Sub-ODE technique is used for solving the deterministic and stochastic case of the Phi-4 equation and the nonlinear Foam Drainage equation.
Mahmoud A.E. Abdelrahman, M.A. Sohaly
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