Results 51 to 60 of about 83,200 (280)

G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Ito's type [PDF]

open access: yes, 2006
We introduce a notion of nonlinear expectation --G--expectation-- generated by a nonlinear heat equation with infinitesimal generator G. We first discuss the notion of G-standard normal distribution.
Peng, Shige
core   +3 more sources

Understanding Ionic Flow in Nanofluidic Blind‐Hole Anodic Aluminum Oxide (AAO) Membranes for Osmotic Energy Generation

open access: yesAdvanced Materials Technologies, EarlyView.
Anodic aluminum oxide (AAO) membranes have traditionally served as structural supports in osmotic energy systems. Here, blind‐hole AAO membranes are demonstrated as active ion‐selective platforms with tunable nanopore structures. By balancing membrane resistance, ion selectivity, and flux, enhanced performance is achieved, delivering a maximum power ...
Khanh Nhien Vu   +6 more
wiley   +1 more source

Almost periodic solutions for Abel equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic ...
Zeng Weiyao   +3 more
doaj   +1 more source

Exact traveling wave solutions of fast reaction–diffusion–convectionequations based on the Lambert function W

open access: yesPartial Differential Equations in Applied Mathematics, 2020
A particular function defined in terms of the Lambert function W is shown to serve as the basis for exact traveling wave solutions to several reaction–diffusion–convection​ (RDC) equations involving rational, non-linear diffusion terms. These represent a
Brian Wesley Williams
doaj   +1 more source

Isospectral Flow and Liouville-Arnold Integration in Loop Algebras [PDF]

open access: yes, 1993
A number of examples of Hamiltonian systems that are integrable by classical means are cast within the framework of isospectral flows in loop algebras.
A.G. Reiman   +13 more
core   +2 more sources

A Global Prospective Harmonization Framework for Suicidality, Anhedonia, and Obsessive‐Compulsive Symptoms in Psychiatric Genetic Studies: A Cross‐Continental Study Within the Ancestral Population Network

open access: yesAmerican Journal of Medical Genetics Part B: Neuropsychiatric Genetics, EarlyView.
ABSTRACT This study aims to prospectively collect harmonized, quantitative, and dimensional psychiatric phenotypes (suicidality, anhedonia, and obsessive‐compulsive symptoms) and information on discrimination, stigma, and unfair treatment in up to 27,500 individuals across diverse ancestries and clinical populations for genetic analysis within the NIMH
Ana M. Diaz‐Zuluaga   +36 more
wiley   +1 more source

Application of the Abel Equation of the 1st kind to an inflation analysis of non-exactly solvable cosmological models

open access: yes, 2013
In this paper we revisit the relationship between the Einstein--Friedman and the Abel equations to demonstrate how it might be applied to the inflationary analysis in a flat Friedman universe filled with a real-valued scalar field.
Yaparova, Anna V.   +2 more
core   +1 more source

The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah   +2 more
doaj   +1 more source

The Lamb-Bateman integral equation and the fractional derivatives

open access: yes, 2010
The Lamb-Bateman integral equation was introduced to study the solitary wave diffraction and its solution was written in terms of an integral transform. We prove that it is essentially the Abel integral equation and its solution can be obtained using the
Babusci, D., Dattoli, G., Sacchetti, D.
core   +1 more source

A Generalized Finite Difference Method for Solving Hamilton–Jacobi–Bellman Equations in Optimal Investment

open access: yesMathematics, 2023
This paper studies the numerical algorithm of stochastic control problems in investment optimization. Investors choose the optimal investment to maximize the expected return under uncertainty.
Jiamian Lin   +3 more
doaj   +1 more source

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