16 research outputs found
Third order differential equations with fixed critical points
Cataloged from PDF version of article.The singular point analysis of third order ordinary differential equations which are algebraic in y and y′ is presented. Some new third order ordinary differential equations that pass the Painlevé test as well as the known ones are found. © 2008 Elsevier Inc. All rights reserved
Painlev\'e structure of a multi-ion electrodiffusion system
A nonlinear coupled system descriptive of multi-ion electrodiffusion is
investigated and all parameters for which the system admits a single-valued
general solution are isolated. This is achieved \textit{via} a method initiated
by Painleve' with the application of a test due to Kowalevski and Gambier. The
solutions can be obtained explicitly in terms of Painleve' transcendents or
elliptic functions.Comment: 9 p, Latex, to appear, J Phys A FT
Effect of phospholipid extracts from brain and egg on activated partial prothrombin time
Study of phospholipids in mucilage (Gum) of sunflower, rapeseed and soja: Analytical approach
Actes du 5e Meeting International sur l'Aridoculture et les Cultures Oasiennes : Biotechnologie végétale en zones arides et oasiennes
Multiple combined gamma kernel estimations for nonnegative data with Bayesian adaptive bandwidths
A modified gamma kernel should not be automatically preferred to the standard
gamma kernel, especially for univariate convex densities with a pole at the
origin. In the multivariate case, multiple combined gamma kernels, defined as a
product of univariate standard and modified ones, are here introduced for
nonparametric and semiparametric smoothing of unknown orthant densities with
support . Asymptotical properties of these multivariate
associated kernel estimators are established. Bayesian estimation of adaptive
bandwidth vectors using multiple pure combined gamma smoothers, and in
semiparametric setup, are exactly derived under the usual quadratic function.
The simulation results and four illustrations on real datasets reveal very
interesting advantages of the proposed combined approach for nonparametric
smoothing, compare to both pure standard and pure modified gamma kernel
versions, and under integrated squared error and average log-likelihood
criteria.Comment: 31 pages, 58 figure