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math.CA2015
A reinterpretation of set differential equations as differential equations in a Banach space
Martin Rasmussen, Janosch Rieger, Kevin Webster
Set differential equations are usually formulated in terms of the Hukuhara differential, which implies heavy restrictions for the nature of a solution. We propose to reformulate se…
math.NA2015
The Euler scheme for state constrained ordinary differential inclusions
Janosch Rieger
We propose and analyze a variation of the Euler scheme for state constrained ordinary differential inclusions under weak assumptions on the right-hand side and the state constraint…
math.OC2015
On the solvability of relaxed one-sided Lipschitz inclusions in Hilbert spaces
Janosch Rieger, Tobias Weth
We prove solvability theorems for relaxed one-sided Lipschitz multivalued mappings in Hilbert spaces and for composed mappings in the Gelfand triple setting. From these theorems, w…