Lyapunov type inequalities for second-order forced dynamic equations with mixed nonlinearities on time scales
Küçük Resim Yok
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we present some newHartman and Lyapunov inequalities for second-order forced dynamic equations on time scales T with mixed nonlinearities: x(Delta Delta)(t) + Sigma(n)(k=1) qk (t)vertical bar x(sigma) (t)vertical bar (alpha k-1) x(sigma) (t) = f (t); t is an element of [t(0), infinity)(T), where the nonlinearities satisfy 0 < alpha(1) < ... < alpha(m) < 1 < alpha(m+1) < ... < alpha(n) < 2. No sign restrictions are imposed on the potentials qk, k = 1, 2, ... , n, and the forcing term f. The inequalities obtained generalize and compliment the existing results for the special cases of this equation in the literature.
Açıklama
Anahtar Kelimeler
Time scale, Lyapunov inequality, Forced, Mixed nonlinear, Sub-linear, Super-linear
Kaynak
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
111
Sayı
1
