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Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem
Bayes and empirical-Bayes multiplicity adjustment variable-selection problem
2010/11/15
This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens a...
On the multiplicity of non-iterated periodic billiard trajectories
Billiards Morse theory Iteration of periodic trajectories
2011/2/28
We introduce the iteration theory for periodic billiard trajectories in a compact and convex domain of the Euclidean space, and we apply it to establish a multiplicity result for non-iterated trajecto...
Multiplicity results for second order nonlinear boundary value problems via Leggett-Williams fixed-point theorem
Boundary value problems Positive multiple solutions
2010/9/15
Multiplicity results for second order nonlinear boundary value problems via Leggett-Williams fixed-point theorem.
Multiplicity of Periodic Solutions of Duffing Equations with Jumping Nonlinearities
periodic solution jumping nonlinearity PS-condition
2007/12/11
We provide sufficient conditions for the existence and multiplicity of subharmonic solutions for Duffing's equations with jumping nonlinearities.
The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem
third-order ordinary differential equation
2007/12/11
The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed poin...