341 research outputs found
Orbital Stability of Planets in Binary Systems: A New Look at Old Results
About half of all known stellar systems with Sun-like stars consist of two or
more stars, significantly affecting the orbital stability of any planet in
these systems. This observational evidence has prompted a large array of
theoretical research, including the derivation of mathematically stringent
criteria for the orbital stability of planets in stellar binary systems, valid
for the "coplanar circular restricted three-body problem". In the following, we
use these criteria to explore the validity of results from previous theoretical
studies.Comment: 3 pages, 1 figure; submitted to: Exoplanets: Detection, Formation and
Dynamics, IAU Symposium 249, eds. Y.-S. Sun, S. Ferraz-Mello, and J.-L. Zhou
(Cambridge: Cambridge University Press
On generalized orlicz sequence spaces of Fourier coefficients for trigonometric gap series. I.
We investigate the operator associating with a function fєLp2π, 1<p≤2, the sequence of Fourier coefficients of ƒ with respect to a trigonometric gap system, as well as an operator from a modular space X ρs(ϕ) to the generalized Orlicz sequence space lϕ
A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
We study a Dirichlet boundary value problem associated to an anisotropic
differential operator on a smooth bounded of . Our main result
establishes the existence of at least two different non-negative solutions,
provided a certain parameter lies in a certain range. Our approach relies on
the variable exponent theory of generalized Lebesgue-Sobolev spaces, combined
with adequate variational methods and a variant of Mountain Pass lemma.Comment: Proceedings A of the Royal Society of London, in pres
The periodic solutions of the second order nonlinear difference equation
Periodic and asymptotically periodic solutions of the nonlinear equation OZX~ +- a f(xn) = 0, n E N, are studied
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