Asymptotic and Pseudoholomorphic Solutions of Singularly Perturbed Differential and Integral Equations in the Lomov’s Regularization Method [PDF]
Axioms, 2019 We consider a singularly perturbed integral equation with weakly and rapidly varying kernels. The work is a continuation of the studies carried out previously, but these were focused solely on rapidly changing kernels.
Abduhafiz Abdurasulovich Bobodzhanov +2 more
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Asymptotics of a Class of Solutions to the Cylindrical Toda Equations [PDF]
, 1997 t asymptotics of a class of solutions to the 2D cylindrical Toda equations is computed. The solutions, , have the representation where Kk$ are integral operators. This class includes the n-periodic cylindrical Toda equations.
Tracy, C. A., Widom, H.
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Asymptotic growth of the 4d N $$ \mathcal{N} $$ = 4 index and partially deconfined phases [PDF]
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
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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
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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
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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
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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
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Continuum limit of 2D fractional nonlinear Schrödinger equation [PDF]
Journal of evolution equations (Printed ed.), 2022 We prove that the solutions to the discrete nonlinear Schrödinger equation with non-local algebraically decaying coupling converge strongly in $$L^2({\mathbb {R}}^2)$$ L 2 ( R 2 ) to those of the continuum fractional nonlinear Schrödinger equation, as ...
Brian Choi, A. Aceves
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Existence of solutions of integral equations with asymptotic conditions [PDF]
Nonlinear Analysis: Real World Applications, 2018 Alberto Cabada +2 more
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Dirichlet problem for mixed type equation with characteristic degeneration
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 For a mixed elliptic-hyperbolic type equation with characteristic degeneration, the first boundary value problem in a rectangular region is investigated. The criterion for the uniqueness of the solution of the problem is established.
Yuliya Kamilevna Sabitova
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