Results 61 to 70 of about 36,931 (242)

Algebro-Geometric Solutions for a Discrete Integrable Equation

Discrete Dynamics in Nature and Society, 2017
With the assistance of a Lie algebra whose element is a matrix, we introduce a discrete spectral problem. By means of discrete zero curvature equation, we obtain a discrete integrable hierarchy. According to decomposition of the discrete systems, the new
Mengshuang Tao, Huanhe Dong
doaj   +1 more source

Universal centers in the cubic trigonometric Abel equation

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Jaume Giné, Maite Grau, Xavier Santallusia   +2 more
doaj   +1 more source

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
doaj   +1 more source

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
openaire   +2 more sources

Skeletal pathologies in extant crocodilians as a window into the paleopathology of fossil archosaurs

The Anatomical Record, EarlyView.
Abstract Crocodilians, together with birds, are the only extant relatives to many extinct archosaur groups, making them highly important for interpreting paleopathological conditions in a phylogenetic disease bracketing model. Despite this, comprehensive data on osteopathologies in crocodilians remain scarce.
Alexis Cornille, Kyla Beguesse, Ewan Wolff, Clemens Zinner, Patrick Asbach, François Clarac, Florian Witzmann   +6 more
wiley   +1 more source

On the Derivation of a Closed-Form Expression for the Solutions of a Subclass of Generalized Abel Differential Equations

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, Paul Spirakis, Yannis C. Stamatiou, Apostolos Tsiakalos   +3 more
doaj   +1 more source

The internal crest anatomy of Lambeosaurini (Hadrosauridae: Lambeosaurinae)

The Anatomical Record, EarlyView.
Abstract The supracranial crests of lambeosaurine hadrosaurids have long been a focus of study due primarily to their extreme morphology. The external anatomy of lambeosaurine crests is understood to be highly variable between species, but variation in their internal anatomy is less well understood.
Thomas W. Dudgeon, Courtney Brown, David C. Evans   +2 more
wiley   +1 more source

On the composition conjectures

Electronic Journal of Differential Equations, 2003
We describe a class of polynomials that satisfy the composition conjecture for the moments. We also show that the composition conjecture for the moments is not weaker than the composition conjecture for a center.
Mohamad A. M. Alwash
doaj  

The Chini integrability condition in second order Lovelock gravity

European Physical Journal C: Particles and Fields
We 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, Sunil D. Maharaj, Byron P. Brassel   +2 more
doaj   +1 more source

Existence of solutions of multi-term fractional differential equations with impulse effects on a half line

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
doaj   +1 more source