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Differential inclusions with state-dependent impulses on the half-line: New Fréchet space of functions and structure of solution sets

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Abstract An R δ -structure of solution sets to some classes of impulsive differential inclusions with variable impulse times on the half-line is shown. Sufficient conditions on barriers are discussed… Click to show full abstract

Abstract An R δ -structure of solution sets to some classes of impulsive differential inclusions with variable impulse times on the half-line is shown. Sufficient conditions on barriers are discussed in detail. They imply two different techniques: the inverse limit method and the one based on a definition of R δ -sets and used in a new suitable Frechet function space.

Keywords: half line; differential inclusions; structure solution; solution sets

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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