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Natural Lacunae Method and Schatten–Von Neumann Classes of the Convergence Exponent

open access: yesMathematics, 2022
Our first aim is to clarify the results obtained by Lidskii devoted to the decomposition on the root vector system of the non-selfadjoint operator. We use a technique of the entire function theory and introduce a so-called Schatten–von Neumann class of ...
Maksim V. Kukushkin
doaj   +4 more sources

Predefined-time sliding mode control for position and attitude of quadrotor with variable exponent coefficients [PDF]

open access: yesScientific Reports
This paper presents a comprehensive study on predefined-time sliding mode control applied to quadrotor systems with variable exponent coefficients. The main goal is to achieve efficient control with predefined-time convergence to the desired target ...
Lifeng Hou   +4 more
doaj   +2 more sources

Evolution Equations in Hilbert Spaces via the Lacunae Method

open access: yesFractal and Fractional, 2022
In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation.
Maksim V. Kukushkin
doaj   +1 more source

Robust Constant Exponent Coefficient Fixed-Time Control Based on Finite-Time Extended Sliding Mode Observer of Permanent Magnet Synchronous Motors

open access: yesEnergies, 2023
This paper presents the Robust Constant Exponent Coefficient Fixed-Time Control (CECFSMC), an innovative control technique for precisely regulating the speed of a permanent magnet synchronous motor (PMSM) by utilizing fixed-time stability with constant ...
Varin Cholahan   +2 more
doaj   +1 more source

Using the Logistic Map as Compared to the Cubic Map to Show the Convergence and the Relaxation of the Period–1 Fixed Point

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2022
In this paper, we employ the logistic map and the cubic map to locate the relaxation and the convergence to the periodic fixed point of a system, specifically, the period—1 fixed point.
Patrick Akwasi Anamuah Mensah   +4 more
doaj   +1 more source

Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems

open access: yesAdvanced Nonlinear Studies, 2021
We study existence and convergence properties of least-energy symmetric solutions (l.e.s.s.) to the pure critical exponent ...
Hernández-Santamaría Víctor   +1 more
doaj   +1 more source

Stochastic stability and the moment Lyapunov exponent for a gyro-pendulum system driven by a bounded noise [PDF]

open access: yesMechanical Sciences, 2023
The stochastic stability of a gyro-pendulum system parametrically excited by a real noise is investigated by the moment Lyapunov exponent in the paper. Using the spherical polar and non-singular linear stochastic transformations and combining these with ...
S. Li, J. Lv
doaj   +1 more source

On the zeros of solutions of any order of derivative of second order linear differential equations taking small functions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, we investigate the hyper-exponent of convergence of zeros of $f^{(j)}(z)-\varphi(z) (j\in N)$, where $f$ is a solution of second or $k(\geq2)$ order linear differential equation, $\varphi(z)\not\equiv0$ is an entire function satisfying ...
Jin Tu, Hong-Yan Xu, Cui-Yan Zhang
doaj   +1 more source

On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations

open access: yesJournal of Inequalities and Applications, 2007
We investigate properties of the zeros of solutions for higher-order periodic differential equations, and prove that under certain hypotheses, the convergence exponent of zeros of the product of two linearly independent solutions is infinite.
Shi-An Gao, Zong-Xuan Chen
doaj   +2 more sources

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

open access: yesOpen Mathematics, 2016
In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
doaj   +1 more source

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