Geodesic
Existence of ω-periodic solutions for second order delay differential equation in Banach spaces
Filomat, Tome 36 (2022) no. 16, p. 5347

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DOI

The propose of the paper is devoted to study the existence of ω-periodic solutions for second-order delay differential equation in abstract Banach space. Firstly, we build a new maximum principle for the ω-periodic solutions of the corresponding linear equation. Secondly, with the help of this maximum principle, we study the existence of the minimal and maximal periodic solutions for our concerns problem by means of perturbation method and monotone iterative technique of the lower and upper solutions. In addition, an example is presented to show the application of our main results.
DOI : 10.2298/FIL2216347G
Classification : 34C25, 47H10
Keywords: ω-periodic solutions, Maximum principle, Lower and upper solution, Monotone iterative technique 
Hai-De Gou. Existence of ω-periodic solutions for second order delay differential equation in Banach spaces. Filomat, Tome 36 (2022) no. 16, p. 5347 . doi: 10.2298/FIL2216347G
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     author = {Hai-De Gou},
     title = {Existence of \ensuremath{\omega}-periodic solutions for second order delay differential equation in {Banach} spaces},
     journal = {Filomat},
     pages = {5347 },
     year = {2022},
     volume = {36},
     number = {16},
     doi = {10.2298/FIL2216347G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216347G/}
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