A. Shole Haghighi
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
[ 1 ] - Construction of measures of noncompactness of $C^k(Omega)$ and $C^k_0$ and their application to functional integral-differential equations
In this paper, first, we investigate the construction of compact sets of $ C^k$ and $ C_0^k$ by proving ``$C^k, C_0^k-version$" of Arzel`{a}-Ascoli theorem, and then introduce new measures of noncompactness on these spaces. Finally, as an application, we study the existence of entire solutions for a class of the functional integral-differential equations by using Darbo's fixe...
[ 2 ] - Existence of solutions of infinite systems of integral equations in the Frechet spaces
In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the Fr´echet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tych...
نویسندگان همکار