Lyapunov type inequalities for even order differential equations with mixed nonlinearities

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Atıf İçin Kopyala

Agarwal R. P., Ozbekler A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2015, 2015 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2015
• Basım Tarihi: 2015
• Doi Numarası: 10.1186/s13660-015-0633-4
• Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Ankara Üniversitesi Adresli: Hayır

Özet

In the case of oscillatory potentials, we present Lyapunov and Hartman type inequalities for even order differential equations with mixed nonlinearities: x((2n))(t) + (-1)(n-1) Sigma(m)(i=1) q(i)(t)vertical bar x(t)vertical bar(alpha i-1) x(t) = 0, where n,m epsilon N and the nonlinearities satisfy 0 < alpha(1) < center dot center dot center dot < alpha(j) < 1 < alpha(j+1) < center dot center dot center dot < alpha(m) < 2.