Results 21 to 30 of about 9,613,117 (241)

Approximate Analytical Solution for Quadratic Riccati Differential Equation [PDF]

open access: yesIranian 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
doaj   +1 more source

Wigner distribution function formalism for superconductors and collisionless dynamics of the superconducting order parameter [PDF]

open access: yes, 2004
A technique to study collisionless dynamics of a homogeneous superconducting system is developed, which is based on Riccati parametrization of Wigner distribution function. The quantum evolution of the superconductiung order parameter, initially deviated
A. N. Omelyanchouk   +13 more
core   +2 more sources

A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods

open access: yesAbstract 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
doaj   +1 more source

Local estimates for modified Riccati equation in theory of half-linear differential equation

open access: yesElectronic 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
doaj   +1 more source

Hermitian Solutions of the Quaternion Algebraic Riccati Equations through Zeroing Neural Networks with Application to Quadrotor Control

open access: yesMathematics, 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
doaj   +1 more source

Exactly Solvable Hydrogen-like Potentials and Factorization Method [PDF]

open access: yes, 1998
A set of factorization energies is introduced, giving rise to a generalization of the Schr\"{o}dinger (or Infeld and Hull) factorization for the radial hydrogen-like Hamiltonian.
Alves N A   +22 more
core   +2 more sources

Control Strategies for the Fokker-Planck Equation [PDF]

open access: yes, 2017
Using a projection-based decoupling of the Fokker-Planck equation, control strategies that allow to speed up the convergence to the stationary distribution are investigated.
Breiten, Tobias   +2 more
core   +2 more sources

Oscillation and non-oscillation of half-linear differential equations with coeffcients determined by functions having mean values

open access: yesOpen 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
doaj   +1 more source

Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

open access: yesOpuscula Mathematica
In 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
doaj   +1 more source

Important Criteria for Asymptotic Properties of Nonlinear Differential Equations

open access: yesMathematics, 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
doaj   +1 more source

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