Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 34, pp. 1-20.

Title: Non-degenerate implicit evolution inclusions 

Author:  Kenneth Kuttler (Brigham Young Univ., Provo, Utah, USA)
         
Abstract: 
 We prove the existence of solutions for the implicit evolution inclusion
 $$
  ( B(t) u( t) ) ' + A(t,u(t)) \ni f(t)
 $$
 under conditions that are easy to verify on the set valued
 operator $A( t,\cdot)$ and that do not imply the operator is monotone.
 We also present an example where our existence theorem applies to a time
 dependent implicit inclusion.

Submitted April 12, 2000. Published May 12, 2000.
Math Subject Classifications: 34A60, 35R70, 35A05, 34A09, 35K20, 47H15.
Key Words: Nonlinear evolution inclusion; pseudo-monotone mapping; 
          implicit inclusions.