Recursive Variational Problems in Nonreflexive Banach Spaces with an Infinite Horizon: An Existence Result
Optimization and Control
2017-08-01 v2
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.
Keywords
Cite
@article{arxiv.1703.01466,
title = {Recursive Variational Problems in Nonreflexive Banach Spaces with an Infinite Horizon: An Existence Result},
author = {Nobusumi Sagara},
journal= {arXiv preprint arXiv:1703.01466},
year = {2017}
}