One Sided Lipschitz Evolution Inclusions in Banach Spaces
Keyword(s):
Using the notion of limit solution, we study multivalued perturbations of m-dissipative differential inclusions with nonlocal initial conditions. These solutions enable us to work in general Banach spaces, in particular L1. The commonly used Lipschitz condition on the right-hand side is weakened to a one-sided Lipschitz one. No compactness assumptions are required. We consider the cases of an arbitrary one-sided Lipschitz condition and the case of a negative one-sided Lipschitz constant. Illustrative examples, which can be modifications of real models, are provided.
2010 ◽
Vol 08
(02)
◽
pp. 211-225
◽
2002 ◽
Vol 15
(4)
◽
pp. 409-414
◽
Keyword(s):
2012 ◽
Vol 262
(4)
◽
pp. 1363-1391
◽
Keyword(s):
2007 ◽
Vol 14
(3-4)
◽
pp. 361-376
◽
2021 ◽
Vol 66
(1)
◽
pp. 17-27
Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces
2009 ◽
Vol 142
(2)
◽
pp. 267-273
◽