Geodesic
Non-degenerate implicit evolution inclusions
Electronic journal of differential equations, Tome 2000 (2000)
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.
Classification : 34A60, 35R70, 35A05, 34A09, 35K20, 47H15
Keywords: nonlinear evolution inclusion, pseudo-monotone mapping, implicit inclusions 
@article{EJDE_2000__2000__a93,
     author = {Kuttler,  Kenneth},
     title = {Non-degenerate implicit evolution inclusions},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0958.34047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a93/}
}
TY  - JOUR
AU  - Kuttler,  Kenneth
TI  - Non-degenerate implicit evolution inclusions
JO  - Electronic journal of differential equations
PY  - 2000
VL  - 2000
UR  - http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a93/
LA  - en
ID  - EJDE_2000__2000__a93
ER  - 
%0 Journal Article
%A Kuttler,  Kenneth
%T Non-degenerate implicit evolution inclusions
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a93/
%G en
%F EJDE_2000__2000__a93
Kuttler,  Kenneth. Non-degenerate implicit evolution inclusions. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a93/