Results 121 to 130 of about 10,613 (298)
Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
Abstract and Applied Analysis, 2014 By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.
Guotao Wang, Sanyang Liu, Lihong Zhang
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A linear eigenvalue algorithm for the nonlinear eigenvalue problem
, 2010 The Arnoldi method for standard eigenvalue problems possesses several attractive properties making it robust, reliable and efficient for many problems. Our first important result is a characterization of a general nonlinear eigenvalue problem (NEP) as a ...
Meerbergen, Karl +2 more
core
A Nonlinear Multiparameter EV Problem
, 2018 We investigate a generalization of one-parameter eigenvalue problems arising in the theory of wave propagation in waveguides filled with nonlinear media to more general nonlinear multi-parameter eigenvalue problems for a nonlinear operator.
Shestopalov, Yury V., +7 more
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
Three solutions for quasilinear equations in Rn near resonance
Electronic Journal of Differential Equations, 2001 We use minimax methods to prove the existence of at least three solutions for a quasilinear elliptic equation in $mathbb {R}^n$ near resonance.
Pablo De Napoli, Maria Cristina Mariani
doaj
On the eigenvalue problem for one-dimensional differential operator with nonlocal integral condition
, 2004 The article investigates the eigenvalue problem for ordinary onedimensional differential operator with nonlocal integral condition. Such a problem is met in the literature quite rarely and is considerably less investigated.
Sapagovas, M. +5 more
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Efficient First‐Principles Inverse Design of Nanolasers
Laser &Photonics Reviews, EarlyView.This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch +5 more
wiley +1 more source
Two-sided methods for the nonlinear eigenvalue problem
, 2021 We discuss solvers for the general nonlinear eigenvalue problem that are able to compute both left and right eigenvectors. A possible application is the approximation of the resolvent of a matrix-valued function.
Roman, Jose E., Campos, Carmen
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