Published January 1, 2015 | Version v1
Journal article Open

Lyapunov type inequalities for even order differential equations with mixed nonlinearities

Description

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.

Files

bib-b320f708-7278-46de-8424-5706b350d43b.txt

Files (168 Bytes)

Name Size Download all
md5:9ae65a72d56e3b7080f881e99474cfed
168 Bytes Preview Download