Results 1 to 10 of about 6,925,642 (276)
On Properties of Karamata Slowly Varying Functions with Remainder and Their Applications
MathematicsIn this paper, we study the asymptotic properties of slowly varying functions of one real variable in the sense of Karamata. We establish analogs of fundamental theorems on uniform convergence and integral representation for slowly varying functions with
Azam A. Imomov +2 more
doaj +4 more sources
On the stability of a class of slowly varying systems
Journal of Inequalities and Applications, 2018 Slowly varying systems are common in physics and control engineering and thus stability analysis for those systems has drawn considerable attention in the literature. This paper uses the “frozen time approach” to derive Lyapunov inequality conditions for
M. F. M. Naser +3 more
doaj +2 more sources
Oscillation criteria for linear difference equations with several variable delays [PDF]
Opuscula Mathematica, 2021 We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by ...
Vasileios Benekas +3 more
doaj +1 more source
The research of some classes of almost periodic at infinity functions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article under consideration is devoted to continuous almost periodic at infinity functions defined on the whole real axis and with their values in a complex Banach space.
Vysotskaya, Irina A. +1 more
doaj +1 more source
Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
doaj +1 more source
On regular variation of entire Dirichlet series
Математичні Студії, 2023 Consider an entire (absolutely convergent in $\mathbb{C}$) Dirichlet series $F$ with the exponents $\lambda_n$, i.e., of the form $F(s)=\sum_{n=0}^\infty a_ne^{s\lambda_n}$, and, for all $\sigma\in\mathbb{R}$, put $\mu(\sigma,F)=\max\{|a_n|e^{\sigma ...
P. V. Filevych, O. B. Hrybel
doaj +1 more source
Asymptotics of the Sum of a Sine Series with a Convex Slowly Varying Sequence of Coefficients
Mathematics, 2021 We study the asymptotic behavior in a neighborhood of zero of the sum of a sine series g(b,x)=∑k=1∞bksinkx whose coefficients constitute a convex slowly varying sequence b.
Aleksei Solodov
doaj +1 more source
Axioms, 2021 In this paper, we consider systems of singularly perturbed integro-differential equations with a rapidly oscillating right-hand side, including an integral operator with a slowly varying kernel.
Abdukhafiz Bobodzhanov +2 more
doaj +1 more source
A Seneta's Conjecture and the Williamson Transform [PDF]
Sahand Communications in Mathematical Analysis, 2023 Considering slowly varying functions (SVF), %Seneta (2019) Seneta in 2019 conjectured the following implication, for $\alpha\geq1$,$$\int_0^x y^{\alpha-1}(1-F(y))dy\textrm{\ is SVF}\ \Rightarrow\ \int_{0}^x y^{\alpha}dF(y)\textrm{\ is SVF, as $x\to\infty$
Edward Omey, Meitner Cadena
doaj +1 more source
On the lateral vibrations of an elastic rod with varying compressive force [PDF]
Theoretical and Applied Mechanics, 2004 We study lateral vibration of a simply supported axially compressed elastic rod with rotary inertia. The axial force is assumed to be a function of time. Stability of the solution is examined.
Stanković Bogoljub +1 more
doaj +1 more source