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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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Almost Periodic Time Scales and Almost Periodic Functions on Time Scales [PDF]
Journal of Applied Mathematics, 2015 We propose some new concepts of almost periodic time scales and almost periodic functions on time scales and give some basic properties of these new types of almost periodic time scales and almost periodic functions on time scales.
Yongkun Li, Bing Li
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Sobolev’s embedding on time scales [PDF]
Journal of Inequalities and Applications, 2018 For 1 ...
Naveed Ahmad +3 more
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Journal of Mathematical Analysis and Applications, 2003 In this paper, the author defines the Riemann and Lebesgue integrals (more precisely, the Riemann and Lebesgue \(\Delta\)-integrals and \(\nabla\)-integrals) on time scales and studies their properties and relationship. In particular, the author presents results concerning the lower and upper Darboux sums, the Riemann sums, the Riemann and Lebesgue ...
Gusein Sh Guseinov
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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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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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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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Canonical time-frequency, time-scale, and frequency-scale representations of time-varying channels [PDF]
Communications in Information and Systems, 2005 Mobile communication channels are often modeled as linear time-varying filters or, equivalently, as time-frequency integral operators with finite support in time and frequency. Such a characterization inherently assumes the signals are narrowband and may not be appropriate for wideband signals.
Rickard, Scott T. +3 more
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Time Scales in Evolutionary Dynamics [PDF]
Physical Review Letters, 2006 Final version with minor changes, accepted for publication in Physical Review ...
Pérez Roca, Carlos +2 more
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Time scales in cognitive neuroscience
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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