English

Elliptic Quadratic Operator Equations

Functional Analysis 2017-01-10 v1 Dynamical Systems

Abstract

In the present paper is devoted to the study of elliptic quadratic operator equations over the finite dimensional Euclidean space. We provide necessary and sufficient conditions for the existence of solutions of elliptic quadratic operator equations. The iterative Newton-Kantorovich method is also presented for stable solutions.

Keywords

Cite

@article{arxiv.1701.01990,
  title  = {Elliptic Quadratic Operator Equations},
  author = {Rasul Ganikhodjaev and Farrukh Mukhamedov and Mansoor Saburov},
  journal= {arXiv preprint arXiv:1701.01990},
  year   = {2017}
}

Comments

36 pages

R2 v1 2026-06-22T17:44:08.894Z