Results 21 to 30 of about 794 (179)
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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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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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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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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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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Advances in Difference Equations, 2017 In this paper, the sine-cosine wavelet method is presented for solving Riccati differential equations. The sine-cosine wavelet operational matrix of fractional integration is derived and utilized to transform the equations to system of algebraic ...
Yanxin Wang, Tianhe Yin, Li Zhu
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