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Existence and Hyers-Ulam stability of solutions for a delayed hyperbolic partial differential equation

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dc.contributor.authorCelik, Canan
dc.contributor.authorDeveli, Faruk
dc.date.accessioned2026-06-27T14:35:51Z
dc.date.issued2022
dc.description.abstractIn this paper, we first prove the existence and uniqueness of the solutions for a delayed hyperbolic partial differential equation by applying the progressive contraction technique introduced by Burton (Nonlinear Dyn Syst Theory 16(4): 366-371, 2016; Fixed Point Theory 20(1): 107-113, 2019) to the corresponding fixed-point problem. Then we derive a Hyers-Ulam stability result for this differential equation by using a Wendorff-type inequality and the Abstract Gronwall Lemma.en
dc.description.urihttps://doi.org/10.1007/s10998-021-00400-2
dc.identifier.doi10.1007/s10998-021-00400-2
dc.identifier.eissn1588-2829
dc.identifier.endpage220
dc.identifier.issn0031-5303
dc.identifier.issue2
dc.identifier.startpage211
dc.identifier.urihttps://hdl.handle.net/20.500.14981/62496
dc.identifier.volume84
dc.identifier.wos000669805600001
dc.language.isoeng
dc.publisherSPRINGER
dc.relation.ispartofPERIODICA MATHEMATICA HUNGARICA
dc.subjectProgressive contractions
dc.subjectHyperbolic partial differential equation
dc.subjectHyers-Ulam stability
dc.subjectFixed point theory
dc.subject1ST-ORDER
dc.subjectOPERATOR
dc.subjectMathematics
dc.titleExistence and Hyers-Ulam stability of solutions for a delayed hyperbolic partial differential equation
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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