Geodesic
Generalized frameworks for first-order evolution inclusions based on Yosida approximations
Electronic journal of differential equations, Tome 2011 (2011)
First, general frameworks for the first-order evolution inclusions are developed based on the A-maximal relaxed monotonicity, and then using the Yosida approximation the solvability of a general class of first-order nonlinear evolution inclusions is investigated. The role the A-maximal relaxed monotonicity is significant in the sense that it not only empowers the first-order nonlinear evolution inclusions but also generalizes the existing Yosida approximations and its characterizations in the current literature.
Classification : 49J40, 65B05
Keywords: generalized first-order evolution inclusions, variational problems, maximal monotone mapping, A-maximal relaxed monotone mapping, generalized resolvent operator, general yosida approximations 
@article{EJDE_2011__2011__a63,
     author = {Verma,  Ram U.},
     title = {Generalized frameworks for first-order evolution inclusions based on {Yosida} approximations},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1216.49008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a63/}
}
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%J Electronic journal of differential equations
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%F EJDE_2011__2011__a63
Verma,  Ram U. Generalized frameworks for first-order evolution inclusions based on Yosida approximations. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a63/