Results 51 to 60 of about 36,805 (178)
FRACTIONAL DIFFERENTIATION OPERATION IN THE FOURIER BOUNDARY PROBLEMS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2020 We use the algebra of unbounded differentiation operators t acting on the ring of differentiable functions. The analytical representation of the fractional degree of the operator t is used to construct the resolvents of three boundary problems for the ...
Petrichenko Mikhail, Musorina Tatiana
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The Statistical Mechanics of the Self-Gravitating Gas: Equation of State and Fractal Dimension
, 2000 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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International Journal of Differential Equations, 2013 We investigate the properties of a general class of differential equations described by dy(t)/dt=fk+1(t)y(t)k+1+fk(t)y(t)k+⋯+f2(t)y(t)2+f1(t)y(t)+f0(t), with k>1 a positive integer and fi(t), 0≤i≤k+1, with fi(t), real functions of t.
Panayotis E. Nastou +3 more
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Nonlinear Analysis, 2017 A class of boundary value problem for impulsive fractional differential equation on a half line is proposed. Some results on existence of solutions of this kind of boundary value problem for impulsive multi-term fractional differential equation on a half
Yuji Liu
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Poisson-Boltzmann thermodynamics of counter-ions confined by curved hard walls
, 2015 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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Abel differential equations admitting a certain first integral
Journal of Mathematical Analysis and Applications, 2010 Abel differential equations in the form \[ \frac{dy}{dx}=a(x)y^3+b(x)y^2+c(x)y+d(x) \] are investigated in the present work. Conditions to have a certain first integral are given and these conditions establishing a bridge with Galois theory. The paper ends with two examples.
Giné, Jaume, Santallusia, Xavier
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Corrigendum: On the Abel differential equations of third kind
Discrete & Continuous Dynamical Systems - B, 2022 <p style='text-indent:20px;'>In this paper, using the Poincaré compactification technique we classify the topological phase portraits of a special kind of quadratic differential system, the Abel quadratic equations of third kind. In [<xref ref-type="bibr" rid="b1">1</xref>] where such investigation was presented for the first time ...
Regilene Oliveira, Cláudia Valls
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Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials
Journal of Numerical Analysis and Approximation Theory, 2019 E.I. Zolotarev's classical so-called First Problem (ZFP), which was posed to him by P.L. Chebyshev, is to determine, for a given \(n\in{\mathbb N}\backslash\{1\}\) and for a given \(s\in{\mathbb R}\backslash\{0\}\), the monic polynomial solution \(Z ...
Heinz Joachim Rack, Robert Vajda
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The Chini integrability condition in second order Lovelock gravity
European Physical Journal C: Particles and FieldsWe analyse neutral and charged matter distributions in second order Lovelock gravity, also known as Einstein–Gauss–Bonnet gravity, in arbitrary dimensions for a static, spherically symmetric spacetime. We first transform the charged condition of pressure
Mohammed O. E. Ismail +2 more
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Rational solutions and limit cycles of polynomial and trigonometric Abel equations
Electronic Journal of Qualitative Theory of Differential Equationse study the Abel differential equation $x'=A(t)x^3+B(t)x^2+C(t)x$. Specifically, we find bounds on the number of its rational solutions when $A(t), B(t)$ and $C(t)$ are polynomials with real or complex coefficients; and on the number of rational limit ...
Luis Ángel Calderón
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