English

Guiding potential method for differential inclusions with nonlocal conditions

Classical Analysis and ODEs 2019-01-07 v1 Functional Analysis

Abstract

The existence of solutions of some nonlocal initial value problems for differential inclusions is established. The guiding potential method is used and the topological degree theory for admissible multivalued vector fields is applied. Some conclusions concerning compactness of the solution set have been drawn.

Keywords

Cite

@article{arxiv.1901.01110,
  title  = {Guiding potential method for differential inclusions with nonlocal conditions},
  author = {Radosław Pietkun},
  journal= {arXiv preprint arXiv:1901.01110},
  year   = {2019}
}
R2 v1 2026-06-23T07:03:08.337Z