English

Existence of solution to a nonlinear first-order dynamic equation on time scales

Classical Analysis and ODEs 2015-12-22 v1

Abstract

We prove existence of solution to a nonlinear first-order nabla dynamic equation on an arbitrary bounded time scale with boundary conditions, where the right-hand side of the dynamic equation is a continuous function.

Keywords

Cite

@article{arxiv.1512.00909,
  title  = {Existence of solution to a nonlinear first-order dynamic equation on time scales},
  author = {Benaoumeur Bayour and Ahmed Hammoudi and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1512.00909},
  year   = {2015}
}

Comments

This is a preprint of a paper whose final and definite form will be published in Journal of Mathematical Analysis, ISSN: 2217-3412, Volume 7, Issue 1 (2016). Submitted Jun 10, 2015; Revised and Accepted Dec 02, 2015