B.G. Pachpatte

TL;DR: In this article, the authors established new integral inequalities related to a certain inequality arising in the theory of differential equations, and the analysis used in the proofs is elementary and the results established here provide new estimates for these types of inequalities.

TL;DR: In this paper, explicit bounds on the Bihari-like integral inequalities and their generalizations are established, and some applications are also given to illustrate the usefulness of one of the results.

TL;DR: In this paper, the authors derived Lyapunov-type inequalities for certain higher order differential equations which relate the points at which the solutions and their certain derivatives have zeros. And they used these inequalities to study the qualitative behavior of solutions of the corresponding differential equations.

TL;DR: In this article, a new inequality of the Ostrowski type in three independent variables is established, and the discrete analogue of the main result is also given, which is the same as the one in this paper.