Results 21 to 30 of about 36,931 (242)
A Geometric Approach to Integrability of Abel Differential Equations [PDF]
International Journal of Theoretical Physics, 2010 A geometric approach is used to study the Abel first order differential equation of the first kind. The approach is based on the recently developed theory of quasi-Lie systems which allows us to characterise some particular examples of integrable Abel equations.
Cariñena, José F. +2 more
openaire +2 more sources
Almost periodic solutions for Abel equations
International 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
A Mathematical Model of Epidemics—A Tutorial for Students
Mathematics, 2020 This is a tutorial for the mathematical model of the spread of epidemic diseases. Beginning with the basic mathematics, we introduce the susceptible-infected-recovered (SIR) model.
Yutaka Okabe, Akira Shudo
doaj +1 more source
Fire, 2023 The temperature field and chemiluminescence measurements of axisymmetric flame are obtained simultaneously in only one image. Digital Laser Speckle Displacement measures temperature fields, and direct image flame determines chemiluminescence values ...
J. C. I. Zamarripa-Ramírez +2 more
doaj +1 more source
Advances in Difference Equations, 2021 Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based on a reproducing kernel algorithm with model endowed with a Caputo–Fabrizio fractional ...
Mohammed Al-Smadi +4 more
doaj +1 more source
Mathematics, 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
A Chiellini type integrability condition for the generalized first kind Abel differential equation [PDF]
, 2013 The Chiellini integrability condition of the first order first kind Abel equation $dy/dx=f(x)y^2+g(x)y^3$ is extended to the case of the general Abel equation of the form $dy/dx=a(x)+b(x)y+f(x)y^{\alpha -1}+g(x)y^{\alpha}$, where $\alpha \in \Re$, and ...
Harko, Tiberiu +2 more
core +1 more source
G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Ito's type [PDF]
, 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
Stable Synapse‐Like Memory Switching in N‐Heterocyclic Carbene Monolayers
Angewandte Chemie, EarlyView.We report a redox‐active N‐heterocyclic carbene (NHC) monolayer showing synapse‐like behavior via proton‐coupled electron transfer (PCET). These quinone‐functionalized NHCs form dense self‐assembled monolayers and highly stable molecular junctions. Bias‐driven PCET switches quinone/hydroquinone states, producing reversible hysteresis and spike‐timing ...
Ankita Das +11 more
wiley +2 more sources
Center conditions at infinity for Abel differential equations [PDF]
Annals of Mathematics, 2010 It is said that the Abel differential equation \[ y'=p(x) y^2+q(x) y^3,\tag{1} \] where \(p\) and \(q\) are polynomials, has a center at a set \(A=\{a_1,\dots, a_r\}\) of complex numbers if \(y(a_1)=\dots=y(a_r)\) for any solution \(y(x)\) with the initial value \(y(a_1)\) sufficiently small.
Briskin, Miriam +2 more
openaire +2 more sources