English

Polynomial solutions of nonlinear integral equations

Classical Analysis and ODEs 2015-05-13 v1 Functional Analysis

Abstract

We analyze the polynomial solutions of a nonlinear integral equation, generalizing the work of C. Bender and E. Ben-Naim. We show that, in some cases, an orthogonal solution exists and we give its general form in terms of kernel polynomials.

Keywords

Cite

@article{arxiv.0803.1846,
  title  = {Polynomial solutions of nonlinear integral equations},
  author = {Diego Dominici},
  journal= {arXiv preprint arXiv:0803.1846},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-21T10:21:00.998Z