Results 71 to 80 of about 5,766,339 (246)
A Complex‐Frequency Framework for Kerker Unidirectionality in Photonic Resonators
Laser &Photonics Reviews, EarlyView.ABSTRACT Electromagnetic scattering exhibits various anomalous behaviors, such as forward or backward scattering effects known as the Kerker conditions. These anomalies appear in non‐Hermitian photonic resonators and are mathematically described by operators with complex eigenfrequencies.
Loubnan Abou Hamdan +8 more
wiley +1 more source
Quantization of Polaritons Confined in Dielectric Structures
Laser &Photonics Reviews, EarlyView.This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani +4 more
wiley +1 more source
Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type. [PDF]
ScientificWorldJournal, 2022 Lizarazo V, De la Cruz R, Lizarazo J.
europepmc +1 more source
The Cauchy problem for Chaplygin's system
, 2010 We discuss the Cauchy problem for the so-called Chaplygin system which often appears in gas, aero- and hydrodynamics. This system can be thought of as a nonlinear analogue of the Cauchy-Riemann system in the plane.
Stepanenko, Victor +3 more
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]
Philos Trans A Math Phys Eng Sci, 2021 Benedetti I, Obukhovskii V, Taddei V.
europepmc +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study investigates oscillation problems for p(t)$$ p(t) $$‐Laplacian dynamic equations on time scales. By employing the Riccati transformation technique, we establish a new Leighton–Wintner‐type oscillation theorem for the equations under consideration, which unifies and extends existing results for both differential and difference ...
Kōdai Fujimoto +2 more
wiley +1 more source
Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems
Advances in Nonlinear Analysis, 2017 We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the space of bounded and continuous functions over ℝd{\mathbb{R}^{d}} and in Lp{L^{p}}-spaces with respect to tight evolution systems of measures.
Addona Davide +2 more
doaj +1 more source