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On a class of infinite system of third-order differential equations in lp via measure of noncompactness
- Source :
- Filomat. 34:3861-3870
- Publication Year :
- 2020
- Publisher :
- National Library of Serbia, 2020.
-
Abstract
- In this paper, with the help of measure of noncompactness together with Darbo-type fixed point theorem, we focus on the infinite system of third-order differential equations u???i + au??i + bu?i + cui = fi(t, u1(t), u2(t),...) where fi ? C(R x R?,R) is ?-periodic with respect to the first coordinate and a,b,c ? R are constants. The aim of this paper is to obtain the results with respect to the existence of ?-periodic solutions of the aforementioned system in the Banach sequence space lp (1 ? p < ?) utilizing the respective Green?s function. Furthermore, some examples are provided to support our main results.
Details
- ISSN :
- 24060933 and 03545180
- Volume :
- 34
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi...........004fe805dba48e9e5abc81f5fc39f162