Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane

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dc.contributor.authorGokgoz, Pelin Ayse
dc.date.accessioned2025-10-29T11:30:58Z
dc.date.issued2024
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractIn this article, we consider the Dirichlet problem for nonlinear higher-order equations in upper half plane. Firstly we introduce the solutions of inhomogeneous polyanalytic equation in upper half plane. Then we investigate the properties of relevant integral operators. Lastly we transform the Dirichlet problem for nonlinear higher-order equations in upper half plane into the system of integro-differential equations and we obtain the existence of unique solution using Banach fixed point theorem.
dc.identifier.doi10.1007/s11785-024-01566-6
dc.identifier.issn1661-8254
dc.identifier.issn1661-8262
dc.identifier.issue5
dc.identifier.orcid0000-0003-4381-1535
dc.identifier.scopus2-s2.0-85196858034
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1007/s11785-024-01566-6
dc.identifier.urihttps://hdl.handle.net/20.500.14854/11823
dc.identifier.volume18
dc.identifier.wosWOS:001254149300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorGokgoz, Pelin Ayse
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofComplex Analysis and Operator Theory
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectDirichlet problem
dc.subjectPolyanalytic
dc.subjectNonlinear equations
dc.subjectUpper half plane
dc.titleDirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane
dc.typeArticle

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