English

Existence results for systems with nonlinear coupled nonlocal initial conditions

Classical Analysis and ODEs 2021-02-09 v1

Abstract

The purpose of the present work is to study the existence of solutions to initial value problems for nonlinear first order differential systems with nonlinear nonlocal boundary conditions of functional type. The existence results are established by means of the Perov, Schauder and Leray-Schauder fixed point principles combined with a technique based on vector-valued metrics and convergent to zero matrices.

Keywords

Cite

@article{arxiv.1309.3708,
  title  = {Existence results for systems with nonlinear coupled nonlocal initial conditions},
  author = {Octavia Bolojan-Nica and Gennaro Infante and Radu Precup},
  journal= {arXiv preprint arXiv:1309.3708},
  year   = {2021}
}

Comments

12 pages

R2 v1 2026-06-22T01:27:11.937Z