Stability and the nonexistence of blowing-up solutions of nonlinear delay systems with linear parts defined by permutable matrices

✍ Scribed by M. Medved’; M. Pospíšil; L. Škripková

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 235 KB
• Volume: 74
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2011.02.026

✦ Synopsis

Sufficient conditions for the exponential stability of the trivial solution of nonlinear differential equations with delay and with linear parts of the form Ax(t) +Bx(t -τ ), τ > 0, where AB = BA, are proved. A result on the nonexistence of blowing-up solutions is also proved.