Lyapunov-type inequalities for nonlinear impulsive systems with applications

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Atıf İçin Kopyala

Kayar Z., Zafer A.

Electronic Journal of Qualitative Theory of Differential Equations, sa.27, ss.1-13, 2016 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: Sayı: 27
• Basım Tarihi: 2016
• Doi Numarası: 10.14232/ejqtde.2016.1.27
• Dergi Adı: Electronic Journal of Qualitative Theory of Differential Equations
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.1-13
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, special cases of which include the impulsive Emden-Fowler equations and half-linear equations. By applying these inequalities, sufficient conditions are derived for the disconjugacy of solutions and the boundedness of weakly oscillatory solutions.