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2 Demonstratio Mathematica

2 2002

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Periodic solutions for evolution inclusions with time-dependent subdifferentials

Matzakos N., Papageorgiu N. S.

Demonstratio Mathematica

2002

Vol. 35, nr 3

521-538

In this paper we examine a periodic evolution equation driven by a time-dependent subdifferential and with a multivalued forcing term. Using a fixed point theorem for pseudo-acyclic multifunctions we prove the existence of periodic trajectories. This approach requires a study of the structure of the solution set of the Cauchy problem, which is also conducted in this paper.

On the solution set of a vector Duffing equation

Papalini F., Papageorgiu N. S.

Demonstratio Mathematica

2002

Vol. 35, nr 4

763-772

In this paper we consider a vector Duffing equation with periodic boundary conditions. First we prove an existence result assuming on f(t,x) Caratheodory type conditions. Then by imposing also a monotonicity assumption we show that the solution set is acyclic.