Zobrazeno 1 - 10
of 46
pro vyhledávání: '"39A12, 39A70"'
Autor:
Sushch, Volodymyr
Publikováno v:
Symmetry 2024, 16, 823
In this paper, we introduce a discretization scheme for the Yang-Mills equations in the two-dimensional case using a framework based on discrete exterior calculus. Within this framework, we define discrete versions of the exterior covariant derivativ
Externí odkaz:
http://arxiv.org/abs/2405.15315
Autor:
Sushch, Volodymyr
Publikováno v:
Symmetry 2022, 14(8), 1556
We discuss a discretisation of the de Rham-Hodge theory in the two-dimensional case based on a discrete exterior calculus framework. We present discrete analogues of the Hodge-Dirac and Laplace operators in which key geometric aspects of the continuu
Externí odkaz:
http://arxiv.org/abs/2202.03923
This paper presents some new propositions related to the fractional order $h$-difference operators, for the case of general quadratic forms and for the polynomial type, which allow proving the stability of fractional order $h$-difference systems, by
Externí odkaz:
http://arxiv.org/abs/2006.08237
Autor:
Kopylova, Elena, Teschl, Gerald
We derive dispersion estimates for solutions of a one-dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. To this end we also provide new results concerning
Externí odkaz:
http://arxiv.org/abs/2001.08445
Autor:
Sushch, Volodymyr
Publikováno v:
Springer Proceedings in Mathematics & Statistics, 333 (2020)
This paper concerns the question of how chirality is realized for discrete counterparts of the Dirac-K\"{a}hler equation in the Hestenes and Joyce forms. It is shown that left and right chiral states for these discrete equations can be described with
Externí odkaz:
http://arxiv.org/abs/1912.01296
Autor:
Jonnalagadda, Jagan Mohan
Publikováno v:
TWMS J. App. and Eng. Math. V.12, N.1, 2022, pp. 60-70
In this article, we obtain sufficient conditions on existence, uniqueness and Ulam--Hyers stability of solutions for a coupled system of two-point nabla fractional difference boundary value problems, using Banach fixed point theorem and Urs's approac
Externí odkaz:
http://arxiv.org/abs/1911.11591
Autor:
Jonnalagadda, Jagan Mohan
Fractional difference operators possess nonlocal structure which largely affects and complicates the qualitative analysis of fractional difference equations. In this article, we discuss the effect of this memory property on asymptotic behaviour of so
Externí odkaz:
http://arxiv.org/abs/1910.08822
Autor:
Papanicolaou, Vassilis G.
We present certain results on the direct and inverse spectral theory of the Jacobi operator with complex periodic coefficients. For instance, we show that any $N$-th degree polynomial whose leading coefficient is $(-1)^N$ is the Hill discriminant of
Externí odkaz:
http://arxiv.org/abs/1909.09206
Autor:
Sushch, Volodymyr
Publikováno v:
Adv. Appl. Clifford Algebras (2020) 30:46
We construct a discrete version of the plane wave solution to a discrete Dirac-K\"{a}hler equation in the Joyce form. A geometric discretisation scheme based on both forward and backward difference operators is used. The conditions under which a disc
Externí odkaz:
http://arxiv.org/abs/1906.08633
A New Approach for Higher Order Difference Equations and Eigenvalue problems via Physical Potentials
Autor:
Bas, Erdal, Ozarslan, Ramazan
Publikováno v:
Eur. Phys. J. Plus (2019) 134: 253
In this study, we give the variation of parameters method from a different viewpoint for the Nth order inhomogeneous linear ordinary difference equations with constant coefficient by means of delta exponential function . Advantage of this new approac
Externí odkaz:
http://arxiv.org/abs/1802.04101