A RELATIONSHIP BETWEEN THE PERIODIC AND THE DIRICHLET BVPS OF SINGULAR DIFFERENTIAL-EQUATIONS

In this paper, a relationship between the periodic and the Dirichlet b oundary value problems for second-order ordinary differential equation s with singularities is established. This relationship may be useful i n explaining the difference between the nonresonance of singular and n onsingular differential equations. Using this relationship, we give in this paper an existence result of positive periodic solutions to sing ular differential equations when the singular forces satisfy some stro ng force condition at the singularity 0 and some linear growth conditi on at infinity.