English

A new global solvability criterion for matrix Riccati equations

Classical Analysis and ODEs 2025-09-03 v1

Abstract

We use a new approach with a matrix transformation to obtain a new global solvability criterion for matrix Riccati equations. The proven theorem completes an well known result in directions of extension of classes of coefficient of equations and of extension of initial values,under which the solutions of equations are continuable to \infty.

Keywords

Cite

@article{arxiv.2509.01207,
  title  = {A new global solvability criterion for matrix Riccati equations},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:2509.01207},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-07-01T05:14:49.512Z