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Periodic solutions of second order non-autonomous singular dynamical systems. (English) Zbl 1127.34023

The authors use topological methods to prove the existence of positive solutions for some non-autonomous singular second order systems. These are solutions whose components all take only positive values. The singularity can be either of strong or of weak type.

MSC:

34C25 Periodic solutions to ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
47H10 Fixed-point theorems
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