International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 1, Pages 13-20
doi:10.1155/S0161171278000022
Existance theroms for the matrix Riccati equation W′+WP(t)W+Q(t)=0
Robert A. Jones
Department of Mathematics and Statistics, Louisiana Tech University, Ruston 71272, Louisiana, USA
Abstract
Sufficient conditions are established for the matrix Riccati equation to have a symmetric solution on a given interval. The criteria involve integral conditions on the coefficient matrices of the Riccati equation. The present results are compared with previously known results.