A topological shadowing theoremProceedings - Mathematical Sciences - Tập 132 - Trang 1-9 - 2022
J Lee, A Rojas
We prove a topological version of the classical shadowing theorem in differentiable dynamics (Encyclopedia of Mathematics and its Applications, vol. 54 (1995) (Cambridge: Cambridge University Press)). We use it to unify some stability results in literature as the GH-topological, Hartman and Walters stability theorems Discrete Contin. Dyn. Syst. 37(7) (2017) 3531–3544; An. Acad. Brasil Ci. 40 (1968...... hiện toàn bộ
The number of ideals in a quadratic fieldProceedings - Mathematical Sciences - Tập 104 - Trang 157-165 - 1994
M. N. Huxley, N. Watt
LetK be a quadratic Geld, and letR(N) be the number of integer ideals inK with norm at most AT. Letx with conductork be the quadratic character associated withK. Then |R(N)−NL(1,x)|⩽Bk
50/73
N
23/73(logN)461/146 forN ≥Ak, whereA andB are constants. ForN ≥Ak
c,C
sufficiently large, the factork
...... hiện toàn bộ
Nonsimilar incompressible laminar boundary layers with magnetic fieldProceedings - Mathematical Sciences - Tập 87 - Trang 55-64 - 1978
B. K. Meena, G. Nath
The solution of the steady laminar incompressible nonsimilar magneto-hydrodynamic boundary layer flow and heat transfer problem with viscous dissipation for electrically conducting fluids over two-dimensional and axisymmetric bodies with pressure gradient and magnetic field has been presented. The partial differential equations governing the flow have been solved numerically using an implicit fini...... hiện toàn bộ
On regularity of twisted spherical means and special Hermite expansionsProceedings - Mathematical Sciences - Tập 103 - Trang 303-320 - 1993
S Thangavelu
Regularity properties of twisted spherical means are studied in terms of certain Sobolev spaces defined using Laguerre functions. As an application we prove a localisation theorem for special Hermite expansions.
Transcendence of some power series for Liouville number argumentsProceedings - Mathematical Sciences - Tập 128 - Trang 1-16 - 2018
Fatma Çalişkan
In this paper, we prove that some power series with rational coefficients take either values of rational numbers or transcendental numbers for the arguments from the set of Liouville numbers under certain conditions in the field of complex numbers. We then apply this result to an algebraic number field. In addition, we establish the p-adic analogues of these results and show that these results hav...... hiện toàn bộ
Space of invariant bilinear formsProceedings - Mathematical Sciences - Tập 128 - Trang 1-22 - 2018
Ravi S Kulkarni, Jagmohan Tanti
Let
$${\mathbb {F}}$$
be a field, V a vector space of dimension n over
$${\mathbb {F}}$$
. Th...... hiện toàn bộ