Geodesic
Non-degenerate implicit evolution inclusions
Electronic Journal of Differential Equations, Tome 2000 (2000).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a166,
     author = {Kuttler, Kenneth},
     title = {Non-degenerate implicit evolution inclusions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2000},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a166/}
}
TY  - JOUR
AU  - Kuttler, Kenneth
TI  - Non-degenerate implicit evolution inclusions
JO  - Electronic Journal of Differential Equations
PY  - 2000
VL  - 2000
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a166/
LA  - en
ID  - EJDE_2000__2000__a166
ER  - 
%0 Journal Article
%A Kuttler, Kenneth
%T Non-degenerate implicit evolution inclusions
%J Electronic Journal of Differential Equations
%D 2000
%V 2000
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a166/
%G en
%F EJDE_2000__2000__a166
Kuttler, Kenneth. Non-degenerate implicit evolution inclusions. Electronic Journal of Differential Equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a166/