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A necessary and sufficient condition for oscillation of second order sublinear delay dynamic equations
Periodic solutions for some fully nonlinear fourth order differential equations
1.  Departamento de Matemática. Universidade de Évora, Centro de Investigação em Matemática e Aplicaçoes da U.E. (CIMAUE), Rua Romão Ramalho, 59. 7000671 Évora 
$u^((i))(a) = u^((i))(b), i=0,1,2,3,$
The difficulties in the odd derivatives are overcome due to the following arguments: the control on the third derivative is done by a Nagumotype condition and the bounds on the first derivative are obtained by lower and upper solutions, not necessarily ordered.
By this technique, not only it is proved the existence of a periodic solution, but also, some qualitative properties of the solution can be obtained.
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