Results 81 to 90 of about 83,200 (280)
Geometry of the Abel Equation of the first kind
We study the first kind Abel differential equation $$\dfrac{dy}{dx}=c_0(x)+3c_1(x)y+3c_2y^2+c_3(x)y^3,$$ where the functions $c_i$ are real analytic. The first step of our analysis is through the Cartan equivalence method, then we use techniques from ...
Wone, Oumar
core
On simultaneous Abel equations
The system (1) \(\phi [f(x)]=\phi (x)+1\quad \phi [g(x)]=\phi (x)+s\) is investigated, where x ranges over an open interval, and f and g are continuous commuting self-bijections of the interval. One would assume that then f and g are in some sense iterates of each other, and indeed the results are in that general direction.
openaire +1 more source
On the numerical solution of equations of the Abel type [PDF]
Equations of this type arise naturally in the study of multidimensional branching processes; see [6], [7]. If X(t) is a 5 X 5 matrix, we are required to store 25 functions (i.e., the elements %a(t), i,j = 1, 2, ■ • • , 5) if we proceed in the usual fashion.
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ABSTRACT Objective Many university students encounter barriers to timely support for disordered eating. Brief, scalable digital single‐session interventions (SSIs) may provide an engaging and accessible transdiagnostic pathway for early intervention where there is increased distress before a diagnosis emerges.
Maya Jabs, Tracey D. Wade
wiley +1 more source
Hydrogen and oxygen generated from water splitting process by photoelectrocatalysis of single atom modified TiO2 based photoelectrocatalysts. The accelerating demand for green hydrogen has intensified the development of efficient and durable photoelectrocatalysts (PECs) for sustainable water splitting.
Zichu Zhao +2 more
wiley +1 more source
The Statistical Mechanics of the Self-Gravitating Gas: Equation of State and Fractal Dimension
We provide a complete picture of the self-gravitating non-relativistic gas at thermal equilibrium using Monte Carlo simulations (MC), analytic mean field methods (MF) and low density expansions.
H.J de Vega, Lipatov, N Sánchez
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Interplay Between Green Investment and Market Price Premia in Global Shipping
ABSTRACT Existing research emphasises that the driver of green investment is its future profitability. This paper shows that other investors' decisions also influence green investment. We take the example of scrubber installation in shipping, which is optional by regulation but has an established market for trading its underlying asset.
Yao Shi +4 more
wiley +1 more source
Poisson-Boltzmann thermodynamics of counter-ions confined by curved hard walls
We consider a set of identical mobile point-like charges (counter-ions) confined to a domain with curved hard walls carrying a uniform fixed surface charge density, the system as a whole being electroneutral.
Samaj, Ladislav, Trizac, E.
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Abstract Background There are substantial age‐related changes in emotional and behavioural problems over childhood. In order to establish the impact of the Covid‐19 pandemic on child emotional and behavioural problems, longitudinal designs which take into account age‐related trends are needed.
Nicky Wright +13 more
wiley +1 more source
New and known properties of the resolvent of the kernel of linear Abel integral equations of the form \begin{equation} \tag{A$_\lambda$} x(t) = f(t) - \lambda \int_0^t (t - s)^{q-1}x(s)\,ds, \end{equation} where $\lambda > 0$ and $q \in (0,1)$, are ...
Leigh Becker
doaj +1 more source

