Results 81 to 90 of about 19,415 (207)

The Estimation of a Signal Generated by a Dynamical System Modeled by McKean–Vlasov Stochastic Differential Equations Under Sampled Measurements

Mathematics
This paper addresses the problem of optimal H2-filtering for a class of continuous-time linear McKean–Vlasov stochastic differential equations under sampled measurements.
Vasile Dragan, Samir Aberkane
doaj   +1 more source

On the reduction of the multidimensional Schroedinger equation to a first order equation and its relation to the pseudoanalytic function theory

, 2004
Given a particular solution of a one-dimensional stationary Schroedinger equation (SE) this equation of second order can be reduced to a first order linear differential equation. This is done with the aid of an auxiliary Riccati equation.
Begehr H, Bernstein S, Bernstein S, Bers L, Bers L, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Lakhtakia A, Tutschke W, Vekua I N, Vladislav V Kravchenko   +14 more
core   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Riccati-parameter solutions of nonlinear second-order ODEs

, 2008
It has been proven by Rosu and Cornejo-Perez in 2005 that for some nonlinear second-order ODEs it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first-order differential operators. Here,
Berkovich L M, Chandrasekar V K, H C Rosu, Hereman W, Iacono R, M A Reyes, Schönborn O   +6 more
core   +2 more sources

Polaritonic Spectra of Optical Mie Voids

Nanophotonics, Volume 15, Issue 9, 13 May 2026.
Optical Mie voids have been shown to provide a versatile platform for polaritonic physics. Analytical and numerical analysis reveal how void resonances couple to excitonic media, enabling weak‐ and strong‐coupling regimes, polariton gaps, Q‐factor enhancement, and spatial mode localization.
Evgeny Ryabkov, Mingzhao Song, Andrey A. Bogdanov, Denis G. Baranov   +3 more
wiley   +1 more source

Chandrasekhar equations for infinite dimensional systems [PDF]

Chandrasekhar equations are derived for linear time invariant systems defined on Hilbert spaces using a functional analytic technique. An important consequence of this is that the solution to the evolutional Riccati equation is strongly differentiable in
Ito, K., Powers, R. K.
core   +1 more source

An introduction to regular splines and their application for initial value problems of ordinary differential equations [PDF]

, 1975
This report describes an application of the general method of integrating initial value problems by means of regular splines for equations with movable singularities.
Werner, H
core   +1 more source

Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna

Advanced Functional Materials, Volume 36, Issue 38, 11 May 2026.
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz, Nicole Siegel, Guillermo Serrera, Javier González‐Colsa, Fangjia Zhu, Karol Kołątaj, Minoru Fujii, Hiroshi Sugimoto, Pablo Albella, Guillermo P. Acuna   +9 more
wiley   +1 more source

Mean-Field Stochastic Linear Quadratic Optimal Control Problems: Closed-Loop Solvability

, 2016
An optimal control problem is studied for a linear mean-field stochastic differential equation with a quadratic cost functional. The coefficients and the weighting matrices in the cost functional are all assumed to be deterministic.
Li, Xun, Sun, Jingrui, Yong, Jiongmin
core   +1 more source

Adaptive mixing formation control of multiquadrotor unmanned aerial vehicle systems

Asian Journal of Control, Volume 28, Issue 3, Page 1073-1085, May 2026.
Abstract This paper presents a distributed adaptive mixing control (AMC) design for formation maintenance of systems of multiquadrotor UAVs (q‐UAVs) during commanded path‐tracking maneuvers. The proposed formation control scheme has a two‐level structure. The high level defines the desired trajectories for rigid and persistent formation acquisition and
Nasrettin Köksal, Barış Fidan, Ahmed Fahim Mostafa   +2 more
wiley   +1 more source