Evolution Inclusions in Banach Spaces under Dissipative Conditions
Keyword(s):
We develop a new concept of a solution, called the limit solution, to fully nonlinear differential inclusions in Banach spaces. That enables us to study such kind of inclusions under relatively weak conditions. Namely we prove the existence of this type of solutions and some qualitative properties, replacing the commonly used compact or Lipschitz conditions by a dissipative one, i.e., one-sided Perron condition. Under some natural assumptions we prove that the set of limit solutions is the closure of the set of integral solutions.
2019 ◽
Vol 27
(3)
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pp. 45-63
2021 ◽
Vol 66
(1)
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pp. 17-27
2015 ◽
Vol 61
(1)
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pp. 195-208
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1996 ◽
Vol 53
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pp. 109-122
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2012 ◽
Vol 10
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pp. 201-212
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2003 ◽
Vol 41
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pp. 1232-1241
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2015 ◽
Vol 52
(2)
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pp. 421-438