Title of article :
Solvability of the infinite systems of nonlinear third-order differential equations in the weighted sequence space mω(∆ςv, ψ, q)
Author/Authors :
Khanehgir ، M. Department of Mathematics - Islamic Azad University, Mashhad Branch University, Mashhad Branch , Amiri Kayvanloo ، H. Department of Mathematics - Islamic Azad University, Mashhad Branch , Allahyari ، R. Department of Mathematics - Islamic Azad University, Mashhad Branch , Mehrabinezhad ، M. Department of Mathematics - Islamic Azad University, Mashhad Branch
Abstract :
In this work, we first introduce the concept of weighted sequence space mω(∆ςv, ψ, q). Then, we construct a Hausdorff measure of noncompactness on this sequence space. Furthermore, by employing this measure of noncompactness we discuss the solvability of an infinite system of nonlinear third-order differential equations with initial conditions in the weighted sequence space mω(∆ςv, ψ, q). Eventually, we demonstrate an example to show the usefulness of the obtained result..
Keywords :
Infinite system of third , order boundary value problem , measure of noncompactness , Meir , Keeler condensing operator , weighted sequence space
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra
