Results 101 to 110 of about 323,277 (326)

Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media

Boundary Value Problems
The Chaffee–Infante (CI) equation is a nonlinear equation that may be used to predict the complex dynamics of soliton propagation in a nonlinear optical medium.
Alwaleed Kamel, Hanen Yossef Louati, Khaled Aldwoah, Faez Alqarni, Mohammed Almalahi, Manel Hleili   +5 more
doaj   +1 more source

Backward Stochastic Linear Quadratic Optimal Control with Expectational Equality Constraint

Mathematics
This paper investigates a backward stochastic linear quadratic control problem with an expected-type equality constraint on the initial state. By using the Lagrange multiplier method, the problem with a uniformly convex cost functional is first ...
Yanrong Lu, Jize Li, Yonghui Zhou
doaj   +1 more source

Stochastic Functional Differential Equation under Regime Switching

Discrete Dynamics in Nature and Society, 2012
We discuss stochastic functional differential equation under regime switching dx(t)=f(xt,r(t),t)dt+q(r(t))x(t)dW1(t)+σ(r(t))|x(t)|βx(t)dW2(t). We obtain unique global solution of this system without the linear growth condition; furthermore, we prove its ...
Ling Bai, Zhang Kai
doaj   +1 more source

Source time functions of earthquakes based on a stochastic differential equation. [PDF]

Sci Rep, 2022
Hirano S.
europepmc   +1 more source

Electron–Matter Interactions During Electron Beam Nanopatterning

Advanced Functional Materials, EarlyView.
This article reviews the electron–matter interactions important to nanopatterning with electron beam lithography (EBL). Electron–matter interactions, including secondary electron generation routes, polymer radiolysis, and electron beam induced charging, are discussed.
Camila Faccini de Lima, Prathiba Thamizhavel, Taylor J. Woehl   +2 more
wiley   +1 more source

Hybrid Neural Networks for Solving Fully Coupled, High-Dimensional Forward–Backward Stochastic Differential Equations

Mathematics
The theory of forward–backward stochastic differential equations occupies an important position in stochastic analysis and practical applications. However, the numerical solution of forward–backward stochastic differential equations, especially for high ...
Mingcan Wang, Xiangjun Wang
doaj   +1 more source

Stochastic differential equation model of Covid-19: Case study of Pakistan. [PDF]

Results Phys, 2022
El Koufi A, El Koufi N.
europepmc   +1 more source

On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations [PDF]

, 2016
Nathan Glatt-Holtz, Jonathan C. Mattingly, Geordie Richards   +2 more
openalex   +1 more source

Unraveling the Heterogeneity of Cargo Distribution in the Exogenous Association of Proteins With Extracellular Vesicles

Advanced Healthcare Materials, EarlyView.
We characterized the distribution of cargo proteins associated with extracellular vesicles using various exogenous loading methods. In all cases, single‐particle analysis revealed that the distribution of protein content per EV is heterogeneous, following an exponential decay function.
Karl Normak, Marcell Papp, Carolina Paganini, Andrea Zendrini, Paolo Bergese, Dorothea Pinotsi, Paolo Arosio   +6 more
wiley   +1 more source

Implicit Numerical Solutions for Solving Stochastic Differential Equations with Jumps

Abstract and Applied Analysis, 2014
To realize the applications of stochastic differential equations with jumps, much attention has recently been paid to the construction of efficient numerical solutions of the equations.
Ying Du, Changlin Mei
doaj   +1 more source