A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
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Modelling and stability analysis of the nonlinear system [PDF]
The production industries have repeatedly combated the problem of system modelling. Successful control of a system depends mainly on the exactness of the mathematical model that predicts its dynamic.
Radulović, Radoslav, Vesović, Mitra
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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
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Stability Problems and Analytical Integration for the Clebsch’s System
The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
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Periodic orbits of a perturbed 3-dimensional isotropic oscillator with axial symmetry [PDF]
We study the periodic orbits of a generalized Yang-Mills Hamiltonian H depending on a parameter β. Playing with the parameter β we are considering extensions of the Contopoulos and of the Yang-Mills Hamiltonians in a 3-dimensional space. This Hamiltonian
Guirao, Juan Luis Garcia +2 more
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Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates [PDF]
In the framework of nonlinear stability of elliptic equilibria in Hamiltonian systems with n degrees of freedom we provide a criterion to obtain a type of formal stability, called Lie stability.
Cárcamo Díaz, Daniela Jacqueline +3 more
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Instability of dielectrics and conductors in electrostatic fields [PDF]
International audienceThis article proves most of the assertion in §116 of Maxwell's treatise on electromagnetism. The results go under the name Earnshaw's Theorem and assert the absence of stable equilibrium configurations of conductors and dielectrics ...
Allaire, Grégoire, Rauch, Jeffrey
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Технологическая подготовка производства детали «Крышка» на станках с ЧПУ [PDF]
В работе выполнен анализ чертежа детали и её технологичности, разработан технологический процесс обработки детали с операционными эскизами и описанием переходов по каждой операции, рассчитаны припуски на обработку, технологические размеры, выполнен ...
Ли, Вэйхан
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Development of the ring ZhYTsD 712442.021 production process including the study of ring workpieces turning process [PDF]
У кваліфікаційній роботі розроблено технологію виготовлення кільця ЖИЦД 712442.021 та спеціальні верстатні пристрої для її реалізації. Прийняті в кваліфікаційній роботі інженерні рішення дали змогу підвищити якість виготовлення деталі і зменшити ...
Elkenani, Moustafa Mohamed Mahmoud Hassan +1 more
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A note on stability of the vertical uniform rotations of the heavy top
We prove that the stability problem of a vertical uniform rotation of a heavy top is completely solved by using the linearization method and the conserved quantities of the differential system which describe the rotation of the heavy ...
Comanescu, Dan
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