Science - Technology

In this paper, by using the method of integral guiding functions a multiparameter global bifurcation theorem for differential inclusions with the periodic condition is proved. It is shown how the abstract result can be applied to the study of the two-parameter global bifurcation of periodic solutions for a class of differential variational inequalities.
Our aim is to study a new class of differential variational inequalities involving fractional derivatives. Using the fixed point approach, the existence of decay solutions to the mentioned problem is proved.