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Discrete focal boundary-value problems
(Cambridge University Press (CUP), 2000-02-01)
In this paper we shall employ the nonlinear alternative of Leray-Schauder and known sign properties of a related Green's function to establish the existence results for the nth-order discrete focal boundary-value problem. ...
Twin positive periodic solutions of second order singular differential systems
(Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, 2005-06-01)
In this paper, we study positive periodic solutions to singular second order differential systems. It is proved that such a problem has at least two positive periodic solutions. The proof relies on a nonlinear alternative ...