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Converses of copson's inequalities on time scales
(Element d.o.o., 2015-01-01)
In this paper, we will prove some new dynamic inequalities on a time scale T. These inequalities when T = N contain the discrete inequalities due to Bennett and Leindler which are converses of Copson's inequalities. The ...
Some new opial dynamic inequalities with weighted functions on time scales
(Element d.o.o., 2015-01-01)
In this paper we prove some new dynamic inequalities with two weight functions and some new dynamic inequalities with two unknown functions of Opial type on time scales. The main results will be proved by employing Holder's ...
Evolution equations with causal operators
(Element d.o.o., 2015-01-01)
In this paper we present an existence result for causal functional evolution equations. The result is obtained under a condition with respect to the Hausdorff measure of noncompactness. An application with partial differential ...