Results 111 to 120 of about 5,695,240 (285)
Basic results on nonlinear eigenvalue problems of fractional order
Electronic Journal of Differential Equations, 2012 In this article, we discuss the basic theory of boundary-value problems of fractional order $1 < delta < 2$ involving the Caputo derivative. By applying the maximum principle, we obtain necessary conditions for the existence of eigenfunctions ...
Mohammed Al-Refai
doaj
Efficient Methods for Nonlinear Eigenvalue Problems
, 2002 During the last years nonlinear eigenvalue problems of the type T(λ)x = 0 became more and more important in many applications with the rapid development of computing performance. In parallel the minmax theory for symmetric nonlinear eigenvalue
Timo Betcke
core
Resonant States Reveal Strong Light–Matter Coupling in Nanophotonic Cavities
Laser &Photonics Reviews, EarlyView.Photonic resonant states reveal characteristics of coupled light–matter systems that would otherwise be hidden by damping. Their trajectories (when tuning the optical resonance) undergo a qualitative change at the onset of strong coupling: They start swapping positions.
Jan David Fischbach +5 more
wiley +1 more source
Revealing the Resonant Physics of Open Photonic Time Crystals
Laser &Photonics Reviews, EarlyView.ABSTRACT Photonic time crystals (PTCs) are media whose permittivity is modulated periodically in time, enabling momentum bandgaps and parametric amplification of light. Their realization at the nanoscale can revolutionize the study of light‐matter interactions.
Adrià Canós Valero +5 more
wiley +1 more source
Existence of positive solutions for two nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2003 We study the existence of positive solutions for the following two nonlinear eigenvalue problems $$displaylines{ Delta u-g(.,u)u+lambda f(.,u)u=0, cr Delta u-g(.,u)u+lambda f(.,u)=0, }$$ in a bounded regular domain in $mathbb{R}^{2}$ with $u=0$ on the ...
Nedra Belhaj Rhouma, Lamia Maatoug
doaj
Controlling the Center of Mass Motion of Levitated Particles Using Structured Wavefronts
Laser &Photonics Reviews, EarlyView.Optically levitated particles have great potential for quantum‐enhanced sensing. Precise control of the trapping beam is crucial to improve the stability and confinement of these systems. Here, we study how structured wavefronts can be used to control the center‐of‐mass motion of levitated particles, enhancing trap stiffness and enabling stable ...
Shah Jee Rahman +7 more
wiley +1 more source
Parameters and solutions of linear and nonlinear oscillators
International Journal of Mathematics and Mathematical Sciences, 1979 Relationship between existence of solutions for certain classes of nonlinear boundary value problems and the smallest or the largest eigenvalue of the corresponding linear problem is obtained.
Rina Ling
doaj +1 more source
Preconditioned iterative methods for a class of nonlinear eigenvalue problems
, 2020 This paper proposes new iterative methods for the efficient computation of the smallest eigenvalue of symmetric nonlinear matrix eigenvalue problems of large order with a monotone dependence on the spectral parameter.
Solov'ëv S.
core
Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
Boundary Value Problems, 2010 We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give approximate and exact solutions to both ...
R. Darzi, A. Neamaty
doaj +1 more source