Lyapunov type inequalities for even order differential equations with mixed nonlinearities
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Date
2015
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Publisher
Springeropen
Abstract
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.
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Keywords
Lyapunov type inequality, mixed nonlinear, sub-linear, super-linear
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Citation
15
WoS Q
Q1