411 research outputs found
Some new dynamic Inequality on time scales in three variables
In this paper we obtain the estimates on some dynamic integral inequalities
in three variables which can be used to study certain dynamic equations. We
give some applications to convey the importance of our result
On a nonstandard Volterra type dynamic integral equation on time scales
The main objective of the present paper is to study some basic qualitative properties of solutions of a nonstandard Volterra type dynamic integral equation on time scales. The tools employed in the analysis are based on the applications of the Banach fixed point theorem and a certain integral inequality with explicit estimate on time scales
On some fundamental partial integral inequalities
AbstractThis paper presents several new partial integral inequalities in two independent variables which can be used in the analysis of various problems in the theory of partial differential and integral equations as ready and powerful tools. An elementary technique of reducing the integral inequality to second order partial differential inequality and then integrating it by Riemann's method is used to establish our results
On an Inequality of Ostrowski Type in Three Independent Variables
AbstractIn the present paper a new inequality of Ostrowski type in three independent variables is established. The discrete analogue of the main result is also given
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