Results 71 to 80 of about 8,925,121 (268)
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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Wave solution behaviors for fractional nonlinear fluid dynamic equation and shallow water equation [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 The behaviors of wave solutions of the fractional nonlinear space-time Sharma-Tasso-Olever equation and the fractional nonlinear space-time Estevez-Mansfield-Clarkson equation, representing a fluid dynamics equation and a shallow water equation ...
Weerachai Thadee +3 more
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Overdamped van Hove function of atomic liquids
, 2012 Using the generalized Langevin equation formalism and the process of contraction of the description we derive a general memory function equation for the thermal fluctuations of the local density of a simple atomic liquid.
Chávez-Páez, Martín +3 more
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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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A vanishing dynamic capillarity limit equation with discontinuous flux
, 2020 We prove existence and uniqueness of a solution to the Cauchy problem corresponding to the equation \begin{equation*} \begin{cases} \partial_t u_{\varepsilon,\delta} +\mathrm{div} {\mathfrak f}_{\varepsilon,\delta}({\bf x}, u_{\varepsilon,\delta ...
Graf, Melanie +3 more
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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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Improved Kneser-type oscillation criterion for half-linear dynamic equations on time scales
AIMS MathematicsWe study the Kneser-type oscillation criterion for a class of second-order half-linear functional dynamic equations on an arbitrary time scale utilizing the integral averaging approach and the Riccati transformation method.
Taher S. Hassan +4 more
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Selection-endogenous ordered probit and dynamic ordered probit models [PDF]
In this presentation we define two qualitatitive response models: 1) Selection Endogenous Dummy Ordered Probit model (SED-OP); 2) a Selection Endogenous Dummy Dynamic Selection Ordered Probit model (SED- DOP).
Alfonso Miranda, Massimiliano Bratti
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