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Zbl 0918.34025
Zhang, Meirong
A relationship between the periodic and the Dirichlet BVPs of singular differential equations. (English)
[J] Proc. R. Soc. Edinb., Sect. A, Math. 128, No.5, 1099-1114 (1998). ISSN 0308-2105; ISSN 1473-7124/e

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''.
[Quingkai Kong (DeKalb)]

MSC 2000:: *34B15 Nonlinear boundary value problems of ODE
34C25 Periodic solutions of ODE

Keywords: positive periodic solutions; singular differential equations

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Zentralblatt MATH Berlin [Germany]