{"cited_by_count":106825,"description":"This cluster of papers focuses on the stability of functional equations, particularly in the context of mathematical analysis. It explores topics such as Hyers-Ulam stability, functional equations in Banach spaces, stability of linear differential equations, quadratic equations, fixed point approaches, approximate homomorphisms, fuzzy stability, non-Archimedean spaces, and the Pexider equation.","display_name":"Functional Equations Stability Results","domain_id":"3","external_ids":{"openalex":"https://openalex.org/T12508","wikipedia":"https://en.wikipedia.org/wiki/Hyers%E2%80%93Ulam_stability"},"field_id":"26","id":"T12508","keywords":[{"display_name":"functional equations","id":"functional-equations","score":0.3599,"url":"https://openalex.org/keywords/functional-equations"},{"display_name":"Hyers-Ulam stability","id":"hyers-ulam-stability","score":0.5801,"url":"https://openalex.org/keywords/hyers-ulam-stability"},{"display_name":"Hyers-Ulam-Rassias stability","id":"hyers-ulam-rassias-stability","score":0.6552,"url":"https://openalex.org/keywords/hyers-ulam-rassias-stability"},{"display_name":"additive functions","id":"additive-functions","score":0.4712,"url":"https://openalex.org/keywords/additive-functions"},{"display_name":"quadratic functional equation","id":"quadratic-functional-equation","score":0.9411,"url":"https://openalex.org/keywords/quadratic-functional-equation"},{"display_name":"additive functional equations","id":"additive-functional-equations","score":0.9584,"url":"https://openalex.org/keywords/additive-functional-equations"},{"display_name":"generalized Hyers-Ulam stability","id":"generalized-hyers-ulam-stability","score":0.7639,"url":"https://openalex.org/keywords/generalized-hyers-ulam-stability"},{"display_name":"Cauchy functional equation","id":"cauchy-functional-equation","score":0.6804,"url":"https://openalex.org/keywords/cauchy-functional-equation"},{"display_name":"solutions of functional equations","id":"solutions-of-functional-equations","score":0.7505,"url":"https://openalex.org/keywords/solutions-of-functional-equations"},{"display_name":"stability of 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Equation"],"openalex_id":"https://openalex.org/T12508","source_created_date":"2024-01-23T15:27:14","source_updated_date":"2026-10-17T03:02:00","subfield_id":"2604","url":"/topics/T12508","works_api_url":"https://api.openalex.org/works?filter=topics.id:T12508","works_count":10917,"label":"Functional Equations Stability Results","provider":"openalex","revision":"5223abfe9d994cf7","taxonomy_revision":"f050b5d4780b1289","title":"Functional Equations Stability Results","kind":"topic-directory","aeo_cohort":"topic-directory","catalogue_revision":"f050b5d4780b1289","numeric_address":"38351242741345329","address_version":"morton4x16-v1","coordinates":[3,26,2604,12508],"answer_status":"Directory metadata; local answer requires separate source review","truth_status":"Subject descriptor, not a factual answer or a demonstrated knowledge gap","reviewed_answer":null}