%0 Journal Article
%T Boundary Value Problems for Systems of Second-Order Dynamic Equations on Time Scales with -Carath\primoslcurlybercurlybodory Functions
%A M. Frigon
%A H. Gilbert
%J Abstract and Applied Analysis
%D 2010
%I Hindawi Publishing Corporation
%R 10.1155/2010/234015
%X We establish the existence of solutions to systems of second-orderdynamic equations on time scales with the right member , a жд-Carathéodoryfunction. First, we consider the case where the nonlinearity  does not dependon the жд-derivative, жд(). We obtain existence results for Strum-Liouville andfor periodic boundary conditions. Finally, we consider more general systemsin which the nonlinearity  depends on the жд-derivative and satisfies a lineargrowth condition with respect to жд(). Our existence results rely on notionsof solution-tube that are introduced in this paper.
%U http://www.hindawi.com/journals/aaa/2010/234015/