{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","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.","keywords":[{"id":"https://openalex.org/keywords/functional-equations","display_name":"functional equations","score":0.3633},{"id":"https://openalex.org/keywords/hyers-ulam-stability","display_name":"Hyers-Ulam stability","score":0.5797},{"id":"https://openalex.org/keywords/hyers-ulam-rassias-stability","display_name":"Hyers-Ulam-Rassias stability","score":0.6547},{"id":"https://openalex.org/keywords/additive-functions","display_name":"additive functions","score":0.4712},{"id":"https://openalex.org/keywords/quadratic-functional-equation","display_name":"quadratic functional equation","score":0.9411},{"id":"https://openalex.org/keywords/additive-functional-equations","display_name":"additive functional equations","score":0.9584},{"id":"https://openalex.org/keywords/generalized-hyers-ulam-stability","display_name":"generalized Hyers-Ulam stability","score":0.7639},{"id":"https://openalex.org/keywords/cauchy-functional-equation","display_name":"Cauchy functional equation","score":0.6797},{"id":"https://openalex.org/keywords/solutions-of-functional-equations","display_name":"solutions of functional equations","score":0.7505},{"id":"https://openalex.org/keywords/stability-of-functional-equations","display_name":"stability of functional equations","score":0.8907},{"id":"https://openalex.org/keywords/ulam-stability","display_name":"Ulam stability","score":0.4173},{"id":"https://openalex.org/keywords/continuous-solutions","display_name":"continuous solutions","score":0.2946},{"id":"https://openalex.org/keywords/cubic-functional-equation","display_name":"cubic functional equation","score":0.9778},{"id":"https://openalex.org/keywords/superstability","display_name":"superstability","score":0.4868},{"id":"https://openalex.org/keywords/additive-mappings","display_name":"additive mappings","score":0.2191},{"id":"https://openalex.org/keywords/linear-functional-equations","display_name":"linear functional equations","score":0.4715},{"id":"https://openalex.org/keywords/generalized-hyers-ulam-rassias-stability","display_name":"generalized Hyers-Ulam-Rassias stability","score":0.7145},{"id":"https://openalex.org/keywords/hyperstability","display_name":"hyperstability","score":0.3044},{"id":"https://openalex.org/keywords/quartic-functional-equation","display_name":"quartic functional equation","score":0.9991},{"id":"https://openalex.org/keywords/restricted-domains","display_name":"restricted domains","score":0.4001},{"id":"https://openalex.org/keywords/mixed-type-functional-equations","display_name":"mixed type functional equations","score":0.9789},{"id":"https://openalex.org/keywords/approximate-homomorphisms","display_name":"approximate homomorphisms","score":0.7377},{"id":"https://openalex.org/keywords/pexider-functional-equation","display_name":"Pexider functional equation","score":0.9358},{"id":"https://openalex.org/keywords/jensen-functional-equation","display_name":"Jensen functional equation","score":0.9625},{"id":"https://openalex.org/keywords/d-alembert-functional-equation","display_name":"d'Alembert functional equation","score":0.9102}],"legacy_keywords":"Hyers-Ulam Stability; Functional Equations; Banach Spaces; Linear Differential Equations; Quadratic Equation; Fixed Point Approach; Approximate Homomorphisms; Fuzzy Stability; Non-Archimedean Spaces; Pexider Equation","ids":{"openalex":"https://openalex.org/T12508","wikipedia":"https://en.wikipedia.org/wiki/Hyers%E2%80%93Ulam_stability"},"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations"},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows"},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis"},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory"},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions"},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory"},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research"},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials"},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods"},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications"},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities"},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis"},{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy"},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems"},{"id":"https://openalex.org/T12812","display_name":"Meromorphic and Entire Functions"},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms"}],"works_count":10918,"cited_by_count":106829,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T12508","updated_date":"2026-10-20T03:01:21","created_date":"2024-01-23T15:27:14"}