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Solvability of infinite systems of second-order differential equations with boundary conditions in lp: Solvability of infinite systems
Aligarh Muslim University, India.
Linnaeus University, Faculty of Technology, Department of Mathematics. Iran University of Science and Technology, Iran. (International Center for Mathematical Modelling in Physics and Cognitive Sciences)ORCID iD: 0000-0003-3056-4299
Iran University of Science and Technology, Iran.
2019 (English)In: Quaestiones Mathematicae. Journal of the South African Mathematical Society, ISSN 1607-3606, E-ISSN 1727-933X, p. 1-20Article in journal (Refereed) Epub ahead of print
Abstract [en]

In this paper, governed by the fundamental solutions we introduce the Green’s function of the second-order differential equations in general form with respect to boundary conditions and deal with the solvability of the infinite system of a second-order differential equations. Using the ideas of Hausdorff measure of noncompactness and Meir-Keleer condensing operator we seek the sufficient conditions to justify the existence of solutions for the aforementioned system in the Banach sequence space lp

Place, publisher, year, edition, pages
Taylor & Francis, 2019. p. 1-20
Keywords [en]
Measure of noncompactness, infinite system of second-order differential equations, Darbo-type fixed point theorem, Meir-Keeler condensing operator, Green’s function
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-86253DOI: 10.2989/16073606.2019.1617800ISI: 000473993300001OAI: oai:DiVA.org:lnu-86253DiVA, id: diva2:1336035
Note

For the whole of abstract we refer the reader to see the full-text.

Available from: 2019-07-08 Created: 2019-07-08 Last updated: 2019-09-26

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Pourhadi, Ehsan

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