340 research outputs found

    Orbital Stability of Planets in Binary Systems: A New Look at Old Results

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    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.

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    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

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    We study a Dirichlet boundary value problem associated to an anisotropic differential operator on a smooth bounded of RN\Bbb R^N. 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

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    Periodic and asymptotically periodic solutions of the nonlinear equation OZX~ +- a f(xn) = 0, n E N, are studied
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