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A relationship between the periodic and the Dirichlet BVPs of singular differential equations. (English) Zbl 0918.34025

Author’s abstract: “A relationship between the periodic and the Dirichlet boundary value problem for second-order ordinary differential equations with singularities is established. This relationship may be useful in explaining the difference between the nonresonance of singular and nonsingular differential equations. Using this relationship, the author gives an existence result of positive periodic solutions to singular differential equations when the singular force satisfies some strong force condition at the singularity 0 and some linear growth condition at infinity”.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
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