A TOPOLOGICAL PROPERTY OF THE SOLUTION SET TO THE STURM-LIOUVILLE DIFFERENTIAL INCLUSIONS

Grzegorz Bartuzel, Andrzej Fryszkowski
1995 Demonstratio Mathematica  
A TOPOLOGICAL PROPERTY OF THE SOLUTION SET TO THE STURM-LIOUVILLE DIFFERENTIAL INCLUSIONS Introduction Differential inclusions of the form Vu{t) G ^(t^u^)), where V is a differential operator, are immediate generalization of the differential equations. The theory of properties of ordinary differential inclusions of the first order has been thriving since the early seventies and a lot is known on the existence of solutions and on their properties both in the framework of the Euclidean space R n
more » ... uclidean space R n as well as in the framework of the Banach space .Y. In general differential inclusions with ordinary differential operator s of the higher order are much less examined although a remarkable amount of interest in this field has been observed lately. The present paper deals with some topological properties of the solution set to the inclusion
doi:10.1515/dema-1995-0416 fatcat:ps65xtaiibavleabadjffp2rrm