Lyapunov-type inequalities for certain nonlinear systems on time scales
TURKISH JOURNAL OF MATHEMATICS, cilt.32, sa.3, ss.255-275, 2008 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 3
- Basım Tarihi: 2008
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.255-275
- Gazi Üniversitesi Adresli: Evet
Özet
In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by using elementary time scale calculus. These inequalities enable us to obtain a criterion of disconjugacy for such systems. Special cases of our results contain the classical Lyapunov inequality for both differential and difference equations.