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Characteristic polyhedra of singularities without completion: part II
Hironaka’s characteristic polyhedron is an important combinatorial object reflecting the local nature of a singularity. We prove that it can be...
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On the Well-Posedness of an Initial–Boundary Value Problem for a Degenerate Heat Equation
AbstractThe well-posedness of an initial–boundary value problem for a model parabolic equation with two power-law degeneration lines is studied....
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One Version of the Theorem on Stability by the First Approximation in the Discrete-Time Case
AbstractWe extend an analog of the Chetaev–Malkin–Massera theorem on stability by the first approximation for differential systems to discrete-time...
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Stratified reduction of singularities of generalized analytic functions
Generalized analytic functions are naturally defined in manifolds with boundary and are built from sums of convergent real power series with...
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Effective Obstruction to Lifting Tate Classes from Positive Characteristic
We give an algorithm that takes a smooth hypersurface over a number field and computes a p-adic approximation of the obstruction map on the Tate...
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Free Subarrangements of Shi Arrangements
Athanasiadis characterized the freeness of the cones of the arrangements between braid arrangements and Shi arrangements. We are interested in the...
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Chaotic Convection in a Magnetic Fluid in Porous Medium Subjected to a Pseudo-Vector Type Force
This paper deals with the chaos control on the convection in a magnetic fluid in a porous medium subjected to a pseudo-vector type force. We...
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Qualitative analysis of a novel 5D chaotic system based on Bouali’s system and its application in private communication via adaptive control
This research work offers a novel five-dimensional chaotic system based on the renowned Bouali system. The dynamics of this system is thoroughly...
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Codimension growth of simple Jordan superalgebras
We study asymptotic behaviour of graded and non-graded codimensions of simple Jordan superalgebras over a field of characteristic zero. It is known...
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Weighted norm inequality for bilinear Calderón–Zygmund operators on Herz–Morrey spaces with variable exponents
In this paper, we obtain a weighted norm inequality of bilinear Calderón–Zygmund operators in Herz–Morrey spaces with variable exponents and weight...
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Stability Criterion for Maximal Terms of Dirichlet Series
We study the behavior of the maximal term of the Dirichlet series with positive exponents the sum of which is an entire function. For the class of...
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An Approach to Generating Extremely Multistable Chaotic Systems
In this paper, we propose new approaches to the construction of extremely multistable systems containing one-, two-, and three-dimensional lattices...
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Some Optimal Design Problems with Perimeter Penalisation
We present measure representation and integral representation results for some integral functionals arising in the context of optimal design problems...
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Hölder Exponents of Self-Similar Functions
We study the Hölder exponents of self-affine similar functions on the interval [0; 1]. Closed-form expressions for the Hölder exponents via the...