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The Convolution on Time Scales [PDF]
Abstract and Applied Analysis, 2007 The main theme in this paper is an initial value problem containing a dynamic version of the transport equation. Via this problem, the delay (or shift) of a function defined on a time scale is introduced, and the delay in turn is used to introduce the ...
Martin Bohner, Gusein Sh. Guseinov
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Time scales in cognitive neuroscience [PDF]
Frontiers in Physiology, 2013 Cognitive neuroscience boils down to describing the ways in which cognitive function results from brain activity. In turn, brain activity shows complex fluctuations, with structure at many spatio-temporal scales.
David ePapo
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Forward Curvatures on Time Scales [PDF]
Abstract and Applied Analysis, 2011 We also introduce forward curvature of a curve and give some formulas to calculate forward curvature of a curve on time scales which may be an arbitrary closed subsets of the set of all real numbers.
M. S. Seyyidoglu +4 more
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The Lie Brackets on Time Scales [PDF]
Abstract and Applied Analysis, 2012 The Lie derivative, which has a wide range of application in physics and geometry, is trying to be examined on time scales. Firstly, nabla Lie bracket is defined on two-dimensional time scales.
H. Kusak, A. Caliskan
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The variational calculus on time scales [PDF]
International Journal for Simulation and Multidisciplinary Design Optimization, 2010 The discrete, the quantum, and the continuous calculus of variations, have been recently unified and extended by using the theory of time scales. Such unification and extension is, however, not unique, and two approaches are followed in the literature ...
Torrest Delfim F.M.
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Fractal and Fractional, 2022 Using the concept of fractional derivatives of Riemann–Liouville on time scales, we first introduce right fractional Sobolev spaces and characterize them.
Xing Hu, Yongkun Li
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An Equivalence Scale for Time [PDF]
Social Indicators Research, 2000 This article proposes an ‘equivalence scale for time’ by which information on total working time in both paid and unpaid labour can be derived from information about paid working time and household structure. Different scales are offered for males and females, and an adjustment according to year is also provided.
Bittman, Michael, Goodin, Robert E.
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The heat equation on time scales [PDF]
Opuscula Mathematica, 2023 We present the use of a Fourier transform on time scales to solve a dynamic heat IVP. This is done by inverting a certain exponential function via contour integral. We include some specific examples and directions for further study.
Tom Cuchta, Rui A.C. Ferreira
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Hermite-Hadamard Inequality on Time Scales
Journal of Inequalities and Applications, 2008 We discuss some variants of the Hermite-Hadamard inequality for convex functions on time scales. Some improvements and applications are also included.
Dinu Cristian
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Periodicity, almost periodicity for time scales and related functions
Nonautonomous Dynamical Systems, 2016 In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made.
Wang Chao +2 more
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