•  
  •  
 

Turkish Journal of Mathematics

DOI

10.55730/1300-0098.3166

Abstract

It is rigorously proven under certain assumptions that a quasilinear system with discontinuous right-hand side possesses a unique unpredictable solution. The discontinuous perturbation function on the right-hand side is defined by means of an unpredictable sequence. A Gronwall-Coppel type inequality is utilized to achieve the main result, and the stability of the unpredictable solution is discussed. Examples with exponentially asymptotically stable and unstable unpredictable solutions are provided.

First Page

1369

Last Page

1383

Included in

Mathematics Commons

Share

COinS