GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

Citation - WoS: 16
Citation - Scopus: 16
Lyapunov Type Inequalities for Even Order Differential Equations With Mixed Nonlinearities
(Springeropen, 2015) Agarwal, Ravi P.; Ozbekler, Abdullah
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.
Citation - WoS: 15
Citation - Scopus: 20
A Short Note on c*-valued Contraction Mappings
(Springeropen, 2016) Alsulami, Hamed H.; Agarwal, Ravi P.; Karapinar, Erdal; Khojasteh, Farshid
In this short note we point out that the recently announced notion, the C*-valued metric, does not bring about a real extension in metric fixed point theory. Besides, fixed point results in the C*-valued metric can be derived from the desired Banach mapping principle and its famous consecutive theorems.