The Asymptotic Behavior of Solutions of Systems of Volterra Integral Equations [PDF]
Transactions of the American Mathematical Society, 1948 Alfred Horn
+4 more sources
On the asymptotic behavior of the bounded solutions of some integral equations, II
Journal of Mathematical Analysis and Applications, 1972 J.J Levin, D.F. Shea
+6 more sources
The problem of acceleration in the dynamics of a double-link wheeled vehicle with arbitrarily directed periodic excitation [PDF]
Theoretical and Applied Mechanics, 2023 This study investigates the motion of a nonholonomic mechanical system that consists of two wheeled carriages articulated by a rigid frame. There is a point mass which oscillates at a given angle 𝛼 to the main axis of one of the carriages.
Mikishanina Evgeniya
doaj +1 more source
Dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 The subject of this work is the study of local dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings. From a discrete model describing the dynamics of a great number of coupled oscillators, a transition has been
Kashchenko, Sergej Aleksandrovich
doaj +1 more source
Asymptotic expansions for approximate solutions of boundary integral equations [PDF]
This paper uses the Modified Projection Method to examine the errors in solving the boundary integral equation from Laplace equation. The analysis uses weighted norms, and parallel algorithms help solve the independent linear systems. By applying the method developed by Kulkarni, the study shows how the approximate solution behaves in polygonal domains.
Rane, Akshay, Shelar, Kunalkumar
openaire +3 more sources
The asymptotic solution of a class of integral equations
Journal of Mathematical Analysis and Applications, 1967 V. Hutson
openaire +3 more sources
Asymptotically periodic solutions to Volterra integral equations in epidemic models
Journal of Mathematical Analysis and Applications, 1985 The author studies the equation \[ x(t)=f(t)+\int^{t}_{0}a(s)P(t- s)g(x(s))ds \] which arises in models for SIS epidemics and he proves some results saying that if either f or a are periodic functions, then the solution x is asymptotically periodic. These results are applied to several models used in describing epidemics of gonorrhea and some numerical
Thomas L. Cromer
openaire +3 more sources
Asymptotics of Solutions of Some Integral Equations Connected with Differential Systems with a Singularity [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 Our studies concern some aspects of scattering theory of the singular differential systems y ′ − x −1Ay − q(x)y = ρBy, x 0 with n × n matrices A, B, q(x), x ∈ (0, ∞), where A, B are constant and ρ is a spectral parameter.
M. Yu. Ignatyev
doaj +1 more source
Mathematics, 2020 In this study, a third-order linear integro-differential equation with a small parameter at two higher derivatives was considered. An asymptotic expansion of the solution to the boundary value problem for the considered equation is constructed by ...
Assiya Zhumanazarova, Young Im Cho
doaj +1 more source
Asymptotic growth of the 4d N $$ \mathcal{N} $$ = 4 index and partially deconfined phases
Journal of High Energy Physics, 2020 We study the Cardy-like asymptotics of the 4d N $$ \mathcal{N} $$ = 4 index and demonstrate the existence of partially deconfined phases where the asymptotic growth of the index is not as rapid as in the fully deconfined case.
Arash Arabi Ardehali +2 more
doaj +1 more source