Results 11 to 20 of about 15,940,619 (296)
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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Anderson’s inequality on time scales
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shiueh-Ling Yu, Fu-Hsiang Wong
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Symmetric differentiation on time scales
Applied Mathematics Letters, 2013 We define a symmetric derivative on an arbitrary nonempty closed subset of the real numbers and derive some of its properties. It is shown that real-valued functions defined on time scales that are neither delta nor nabla differentiable can be symmetric differentiable.
Artur M C Brito da Cruz +2 more
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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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Divided and A-Divided Differences on Time Scales
, 2023 In this chapter, the divided differences and cr-divided differences on time scales are introduced. The Newton and cr-Newton interpolation polynomial are constructed. In addition, the Hermite interpolation polynomial on time scales is constructed by using
Erhan,I.M. +3 more
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