Contemporary Mathematics, Volume 1 Issue 4 (2020), 170-271 < Previous vol / issue Next vol/issue >

This issue is in progress but contains articles that are final and fully citable.

Estimates for the Bounds of the Essential Spectrum of a 2 × 2 Operator Matrix

by Rasulov Tulkin,Dilmurodov Elyor B.

Abstract: We consider a 2 × 2 operator matrix Aμ, μ > 0, related to the lattice systems describing three particles in interaction, without conservation of the number of particles on a d-dimensional lattic...

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Linear Codes Obtained from Projective and Grassmann Bundles on Curves

by Ballico E.

Abstract: We use split vector bundles on an arbitrary smooth curve defined over Fq to get linear codes (following the general set-up considered by S. H. Hansen and T. Nakashima), generalizing two quoted results...

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Heat Kernel Approximation on Kendall Shape Space

by Mtibaa Riadh ,Khan Salam

Abstract: The heat kernel on Kendall shape subspaces is approximated by an expansion. The Kendall space is useful for representing the shapes associated with collections of landmarks'positions. The Minakshisund...

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Far-Field Behavior of Waves in Non-Ideal Magnetogasdynamics

by Ankita Sharma,Arora Rajan

Abstract: We have presented a study on the far-field behavior of weak nonlinear waves in magnetogasdynamics. An asymptotic analysis is carried out for the study. An evolution equation is obtained by using an as...

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Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization

by Ioannis K. Argyros, Yeol Je Cho, Santhosh George

Abstract: Let X, Y be Hilbert spaces and F : X → Y be Frechet differentiable. Suppose that F′ is center-Lipschitz on U(w, r) and F′(w) be a surjection. Then, S1 = F(U(w, ε1)) is convex where ε1 ≤ r. T...

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Asymptotic Solutions of Fifth Order Overdamped-Oscillatory Nonlinear Systems

by Harun Or Roshid,Ali M. Zulfikar

Abstract: Combo overdamp-oscillatory system plays an important role in natural phenomena in many engineering problems. In this paper, fifth order nonlinear damped-oscillatory differential system is studied to i...

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An Example of the Generalized Fractional Laplacian on Rⁿ

by Li Chenkuan

Abstract: Using the normalization of the fractional Laplacian (-△)su(x) over the space Ck(Rn ) for all s > 0 and s ≠ 1, 2, ···, we evaluate (-△)se-||x||2 based on the multidimensional surface i...

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Monte Carlo Approach Towards Evaluating Random Number Generators Based on Mathematical Schemes Driven from Chua's Circuit

by Amini Kasra , Aidin Momtaz, Ehsan Qoreishi, Sarah Amini, Sanaz Haddadian

Abstract: The philosophical nature of randomly generated quantities is widely discussed in the realms of chaos theory. Although, the fundamental premise of the chaos theory does not assume any random behavior i...

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On the Non-Uniqueness of the Sets Computing a Partially Symmetric Rank at Most Three

by Ballico Edoardo

Abstract: We describe all partially symmetric tensors which have rank two in more than one way and gives many examples, perhaps all, for rank three partially symmetric tensors....

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