Results 101 to 110 of about 539,609 (355)
Breather solitons in highly nonlocal media
, 2016 We investigate the breathing of optical spatial solitons in highly nonlocal media. Generalizing the Ehrenfest theorem, we demonstrate that oscillations in beam width obey a fourth-order ordinary differential equation.
Alberucci, Alessandro +2 more
core +1 more source
Study of Nonlocal Boundary Value Problem for the Fredholm–Volterra Integro-Differential Equation [PDF]
, 2022 K. R. Raslan +4 more
openalex +1 more source
The nonlocal problem for the differential-operator equation of the even order with the involution
, 2018 In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Y. Baranetskij +3 more
semanticscholar +1 more source
Journal of Mathematical Analysis and Applications, 2005 After brief explanation of the basic definitions and notions connected with nonlocal symmetries of DEs the authors present a systematic method to derive the nonlocal symmetries for PDEs with two independent variables and show that KdV \(\frac{\partial u}{\partial t}=u\frac{\partial u}{\partial x}+\frac{\partial ^3 u}{\partial x^3}\) and Burgers \(\frac{
Sahadevan, R. +2 more
openaire +1 more source
Functional differential equations with nonlocal initial conditions [PDF]
International Journal of Stochastic Analysis, 1996 We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m‐accretive operators and related evolution equations in Banach spaces.
Aizicovici, Sergiu, Gao, Yun
openaire +2 more sources
Directional Light Scattering In Mie‐Resonant Si Particles With Ultra‐Thin Au Shells
Advanced Optical Materials, EarlyView.Si@Au core‐shell particles have been produced to study their ability to directionally scatter light. We found that the heavily reported particulate shells do not overlap the electric and magnetic dipoles well, where continuous shells have better overlap. Experimental analyses, including nanomaterial characterization, EELS and single‐particle dark‐field
Emmanuel O. Idowu +12 more
wiley +1 more source
On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations
Abstract and Applied Analysis, 2012 We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established.
Allaberen Ashyralyev, Okan Gercek
doaj +1 more source
On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem [PDF]
International Journal of Stochastic Analysis, 1998 In the present paper we study nonlocal problems for ordinary differential equations with a discontinuous coefficient for the high order derivative. We establish sufficient conditions, known as regularity conditions, which guarantee the coerciveness for both the space variable and the spectral parameter, as well as guarantee the completeness of the ...
openaire +2 more sources
Advanced Optical Materials, EarlyView.A comparative study of the optical and polaritonic properties of excitons in hBN‐encapsulated monolayer TMDs close to the homogeneous linewidth is presented. Reflection spectroscopy with transmission‐line modeling enables extraction of the complex permittivities and demonstrate their ability to host surface‐exciton‐polaritons.
Matan Meshulam +6 more
wiley +1 more source
Advanced Photonics Research, EarlyView.Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang +2 more
wiley +1 more source