We prove the existence of solutions for the implicit evolution inclusion
under conditions that are easy to verify on the set valued operator 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.
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| Kenneth Kuttler |
Department of Mathematics
Brigham Young University
Provo, Utah, 84602 USA
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