Periodic solutions of neutral functional differential equations

We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of typeddt(x(t)−A(t,xt))=f(t,xt) defined almost everywhere in R. As a consequence, we study the existence and uniqueness of periodic solutions for t...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 350; pp. 89 - 123
Main Authors Afonso, S.M., Bonotto, E.M., da Silva, M.R.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 25.03.2023
Subjects
Fixed-point theory
Impulsive neutral functional differential equations
Neutral functional differential equations
Periodic solutions
34K40
Fixed-point theory
Neutral functional differential equations
Periodic solutions
Impulsive neutral functional differential equations
26A39
34K13
34K45
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Summary:We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of typeddt(x(t)−A(t,xt))=f(t,xt) defined almost everywhere in R. As a consequence, we study the existence and uniqueness of periodic solutions for this class of NFDEs under impulse perturbations. Examples are presented to illustrate the developed theory.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2022.12.014