Journal of Applied Mathematics and Stochastic Analysis
Volume 7 (1994), Issue 4, Pages 537-544
Well posedness for evolution inclusions
1Bharathiar University, Department of Mathematics, Coimbatore 641 046, Tamil Nadu, India
2Gobi Arts College, Department of Mathematics, Gobichettipalayam 638 453, Tamil Nadu, India
Received 1 March 1993; Revised 1 May 1994
Copyright © 1994 K. Balachandran and A. Anguraj. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We prove the existence of a continuous selection of the multivalued map
which is the set of all mild solutions of the evolution inclusion
Here is a multivalued map, Lipschitzian with respect to , and is the
infinitesimal generator of a -semigroup.