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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 ...
Solvability of singular dirichlet boundary-value problems with given maximal values for positive solutions
(Cambridge University Press (CUP), 2005-02-01)
The singular boundary-value problem (g(x'(t)))' = muf (t, x(t), x'(t)), x(0) = x(T) = 0 and max {x(t) : 0 less than or equal to t less than or equal to T} = A is considered. Here p is the parameter and the negative function ...
Singular positone and semipositone boundary value problems of second order delay differential equations
(Institute of Mathematics, Czech Academy of Sciences, 2005-06-01)
In this paper we present some new existence results for singular positone and semipositone boundary value problems of second order delay differential equations. Throughout our nonlinearity may be singular in its dependent ...