Results 41 to 50 of about 342,569 (169)
Sparse dynamics for partial differential equations [PDF]
Proceedings of the National Academy of Sciences, 2013 We investigate the approximate dynamics of several differential equations when the solutions are restricted to a sparse subset of a given basis. The restriction is enforced at every time step by simply applying soft thresholding to the coefficients of the basis approximation.
Schaeffer, Hayden +3 more
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Fractal and FractionalThe primary objective of this work is to develop a comprehensive theory of weighted fractional Sobolev spaces within the framework of timescales. To this end, we first introduce a novel class of weighted fractional operators and rigorously define ...
Qibing Tan, Jianwen Zhou, Yanning Wang
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Modeling Dynamic Background based on Linear Equation
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 Detection moving car in front view is difficult operation because of the dynamic background due to the movement of moving car and the complex environment that surround the car, to solve that, this paper proposed new method based on linear equation ...
Abdul Monem S. Rahma, Nabaa Basil Abd
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Necessary Condition for an Euler-Lagrange Equation on Time Scales
Abstract and Applied Analysis, 2014 We prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation,
Monika Dryl, Delfim F. M. Torres
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Dynamics of Nonlinear Wave Equations [PDF]
, 2019 80pages. This lecture was written for LIASFMA School on Harmonic Analysis and Wave Equations in Fudan universty(2017). arXiv admin note: text overlap with arXiv:1506.00788, arXiv:0710.5934, arXiv:1407.4525, arXiv:1601.01871, arXiv:1301.4835, 1509.03331, arXiv:1010.3799, arXiv:1201.3258, arXiv:0911.4534, arXiv:1411.7905, by other ...
Miao, Changxing, Zheng, Jiqiang
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Nonlinear EngineeringThis study explores the qualitative analysis of Dγh(ζ)=ℒ(ζ,h(ζ),Dγh(ζ)),\begin{array}{r}{{\mathcal{D}}}^{\gamma }{\mathfrak{h}}\left(\zeta )={\mathcal{ {\mathcal L} }}\left(\zeta ,{\mathfrak{h}}\left(\zeta ),{{\mathcal{D}}}^{\gamma }{\mathfrak{h}}\left ...
Nisar Kottakkaran Sooppy +3 more
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Dynamic equation and response of turbine runner blade under flow excitation
Advances in Mechanical Engineering, 2018 Considering the complex vibration phenomenon of turbine runner blades under the flow excitation, the nonlinear coupling dynamic equation, which contains hydraulic parameters and blade structure parameters, is established by the finite element method ...
Zhaojun Li +4 more
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Dynamic Analysis of a Nonlinear Timoshenko Equation
Abstract and Applied Analysis, 2011 We characterize the global and nonglobal solutions of the Timoshenko equation in a bounded domain. We consider nonlinear dissipation and a nonlinear source term.
Jorge Alfredo Esquivel-Avila
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Calculating Lyapunov Value for the Logistic Equation with Rapidly Oscillating Delay
Моделирование и анализ информационных систем, 2014 We consider the local dynamic of the logistic equation with rapidly oscillating timeperiodic piecewise constant or piecewise linear coefficient of delay.
N. D. Bykova
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