Recursive Variational Problems in Nonreflexive Banach Spaces with an Infinite Horizon: An Existence Result

Nobusumi Sagara

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arXiv · 1703.01466

Recursive Variational Problems in Nonreflexive Banach Spaces with an Infinite Horizon: An Existence Result

Nobusumi Sagara

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Abstract

We investigate variational problems with recursive integral functionals governed by infinite-dimensional differential inclusions with an infinite horizon and present an existence result in the setting of nonreflexive Banach spaces. We find an optimal solution in a Sobolev space taking values in a Banach space under the Cesari type condition. We also investigate sufficient conditions for the existence of solutions to the initial value problem for the differential inclusion.

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Nobusumi Sagara. 2017-03-04. Recursive Variational Problems in Nonreflexive Banach Spaces with an Infinite Horizon: An Existence Result. https://arxiv.org/abs/1703.01466

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