A new look at an old comparison theorem

Jaroslav Jaroš

Address: Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynská dolina, Bratislava, 842 48, Slovakia

E-mail: jaros@fmph.uniba.sk

Abstract: We present an integral comparison theorem which guarantees the global existence of a solution of the generalized Riccati equation on the given interval $[a,b)$ when it is known that certain majorant Riccati equation has a global solution on $[a,b)$.

AMSclassification: primary 34C10.

Keywords: generalized Riccati differential equation, global solutions.

DOI: 10.5817/AM2021-3-151