Open this publication in new window or tab >>2019 (English)In: Journal of Fixed Point Theory and Applications, ISSN 1661-7738, E-ISSN 1661-7746, Vol. 21, no 2, p. 1-16, article id 64Article in journal (Refereed) Published
Abstract [en]
Throughout this work, using the technique of measure of noncompactness together with Meir–Keeler condensing operators, we study the solvability of the following infinite system of third-order differential equations in the Banach sequence space c_{0} as a closed subspace of ℓ∞ :u′′′_{i}+au′′_{i}+bu′_{i}+cu_{i}=f_{i}(t,u1(t),u2(t),...)where fi∈C(R×R^{∞},R) is ω -periodic with respect to the first coordinate and a,b,c∈R are constant. Our approach depends on the Green's function corresponding to the aforesaid system and deduce some conclusions relevant to the existence of ω -periodic solutions in Banach sequence space c_{0} . In addition, some examples are supplied to illustrate the usefulness of the outcome.
Place, publisher, year, edition, pages
Switzerland: Springer, 2019
Keywords
Measure of noncompactness, infinite system of third-order differential equations, Darbo-type fixed point theorem, Meir-Keeler condensing operator, Green’s function
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
urn:nbn:se:lnu:diva-82640 (URN)10.1007/s11784-019-0696-9 (DOI)000466902000002 ()2-s2.0-85065246622 (Scopus ID)
2019-05-222019-05-222019-08-29Bibliographically approved