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Abstract: In this work, we extend Jordan’s inequality to obtain a new type of inequality involving functions and their higher-order derivatives. The result is then used to obtain some higher accurate inequalities of Jordan type. [Copyright &y& Elsevier]

Abstract: A new generalized version of Aczél’s inequality is proved. This is a unified generalization of some known results. Moreover, the result is applied to the improvement of the well-known Bellman’s inequality. [Copyright &y& Elsevier]

Abstract: In this paper, we are concerned with the third order two-point generalized right focal boundary value problem A few new results are given for the existence of at least one, two, three and infinitely many monotone positive solutions of the above boundary value problem by using the Krasnosel’skii fixed-point theorem in cones, and the Leggett–Williams fixed-point theorem. [Copyright &y& Elsevier]

Abstract: Values of are determined for which there exist positive solutions of the fourth-order singular boundary value problems where , is parameter. For , we give criteria for the existence of eigenfunctions. [Copyright &y& Elsevier]

Abstract: In this article, we investigate the existence of positive periodic solutions for a class of functional differential equations. By using fixed point index theory, we establish sufficient criteria that are easily verifiable and that generalize and improve related studies in the literature. Also, we give some examples in bio-mathematics to show that our main results are valid. [Copyright &y& Elsevier]

Abstract: Under certain assumptions on the nonlinear–nonhomogenous term of ordinary differential equations associated with fourth order singular boundary value problems, we establish a necessary and sufficient condition for the existence of positive solutions of the boundary value problem by means of fixed point theorems. [Copyright &y& Elsevier]