Results 1 to 10 of about 344,180 (200)

Asymptotics of Eigenvalues and Eigenfunctions for the Laplace Operator in a Domain with Oscillating Boundary. Multiple Eigenvalue Case [PDF]

, 2006
We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue of the limit problem is multiple. We construct the leading terms of the asymptotic expansions for the eigenelements and verify the asymptotics.
A. G. Belyaev, A. G. Belyaev, A. G. Belyaev, A. Gaudiello, A. M. II’in, A. M. Il’in, A. M. Il’in, A. M. Il’in, E. M. Landis, E. Sánchez-Palencia, G. A. Chechkin, G. A. Chechkin, G. A. Chechkin, G. A. Chechkin, G. A. Chechkin, G. Allaire, G. Bouchitte, I. Babuška, J. Nevard, J.-L. Lions, M. Lobo-Hidalgo, M. Yu. Planida, O. A. Oleinik, R. Brizzi, R. R. Gadyl’shin, R. R. Gadyl’shin, R. R. Gadyl’shin, R. R. Gadyl’shin, R. R. Gadyl’shin, R. R. Gadyl’shin, R. R. Gadyl’shin, S. A. Nazarov, S. A. Nazarov, S. L. Sobolev, S. L. Sobolev, T. A. Mel’nik, V. A. Marchenko, W. Jäger, W. Jäger, W. Kohler, Y. Achdou, Y. Amirat, Y. Amirat   +42 more
arxiv   +3 more sources

Asymptotic Behavior of Oscillating Radial Solutions to Certain Nonlinear Equations [PDF]

Methods and Applications of Analysis, 2008
A typical example is that f(u) = u−μ1u −μ2 with constants p > max(q, 0). This kind of semilinear equation appears in several applications in mechanics and physics. In particular, it has been used to model the dynamics of thin films for viscous liquids. Some detailed physics background can be found in [1]-[3], [9] and [12]-[14]. Some recent mathematical
Changfeng Gui, Feng Zhou
openalex   +5 more sources

Asymptotic Behavior of Solutions of Emden-Fowler Difference Equations with Oscillating Coefficients

Journal of Mathematical Analysis and Applications, 1993
AbstractIt is known that if ∑∞j |pj| < ∞ then the Emden-Fowler difference equation (A) Δ2yn−1 = pnyγn (γ > 0) has a positive solution {yn}, defined for n sufficiently large, such that limn→∞yn = c > 0, while if ∑∞jγ |pj| < ∞ then (A) has a positive solution }yn}, defined for n sufficiently large, such that limn→∞Δyn = c > 0. Here it is shown that these
William F. Trench
openalex   +3 more sources

Adaptive fuzzy control for tendon-sheath actuated bending-tip system with unknown friction for robotic flexible endoscope [PDF]

Frontiers in Neuroscience
IntroductionThe tendon-sheath actuated bending-tip system (TAB) has been widely applied to long-distance transmission scenes due to its high maneuverability, safety, and compliance, such as in exoskeleton robots, rescue robots, and surgical robots design.
Fan Ren, Xiangyu Wang, Xiangyu Wang, Ningbo Yu, Ningbo Yu, Jianda Han, Jianda Han   +6 more
doaj   +2 more sources

Large-time asymptotic behavior of the infinite system of harmonic oscillators [PDF]

arXiv, 2016
The mixed initial-boundary value problem for infinite one-dimensional chain of harmonic oscillators on the half-line is considered. We study the large time behavior of solutions and derive the dispersive bounds.
arxiv   +3 more sources

Effective Behavior of Nonlinear Microperiodic Composites with Imperfect Contact Via the Asymptotic Homogenization Method.

Trends in Computational and Applied Mathematics, 2021
The asymptotic homogenization method is applied here to one-dimensional boundary-value problems for nonlinear differential equations with rapidly oscillating piecewise-constant coefficients which model the behavior of nonlinear microperiodic composites,
R. Décio Jr, L. D. Pérez-Fernández, J. Bravo-Castillero   +2 more
doaj   +1 more source

Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model

Axioms, 2022
We establish a non-linear diffusion partial differential equation (PDE) model to depict the dynamic mechanism of Internet gaming disorder (IGD). By constructing appropriate super- and sub-solutions and applying Schauder’s fixed point theorem and ...
Kaihong Zhao
doaj   +1 more source

Homogenization of a locally periodic oscillating boundary [PDF]

, 2021
This paper deals with the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating boundary.
Aiyappan, Srinivasan, Pettersson, Klas
core   +3 more sources

Regularization Method for Singularly Perturbed Integro-Differential Equations with Rapidly Oscillating Coefficients and Rapidly Changing Kernels

Axioms, 2020
In this paper, we consider a system with rapidly oscillating coefficients, which includes an integral operator with an exponentially varying kernel. The main goal of the work is to develop an algorithm for the regularization method for such systems and ...
Burkhan Kalimbetov, Valeriy Safonov
doaj   +1 more source

Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries

Advanced Nonlinear Studies, 2023
In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations defined in oscillating (N+1)\left(N+1)-dimensional thin domains (i.e., a family of bounded open sets from RN+1{{\mathbb{R}}}^{N+1}, with corrugated bounder ...
Nakasato Jean Carlos, Pereira Marcone Corrêa   +1 more
doaj   +1 more source