Functional Equation [inline-graphic not available: see fulltext] and Its Hyers-Ulam Stability

被引：0
作者：
Soon-Mo Jung
机构：
[1] Hongik University,Mathematics Section, College of Science and Technology
来源：
Journal of Inequalities and Applications | / 2009卷
关键词：
Vector Space; Linear Equation; General Solution; Functional Equation; Regularity Condition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We solve the functional equation, [inline-graphic not available: see fulltext], and prove its Hyers-Ulam stability in the class of functions [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is a real (or complex) Banach space.
引用
收藏
相关论文
共 24 条
  • [1] Hyers DH(1941)On the stability of the linear functional equation Proceedings of the National Academy of Sciences of the United States of America 27 222-224
  • [2] Moszner Z(2009)On the stability of functional equations Aequationes Mathematicae 77 33-88
  • [3] Baker J(1979)The stability of the equation Proceedings of the American Mathematical Society 74 242-246
  • [4] Lawrence J(1995)Hyers-Ulam stability of functional equations in several variables Aequationes Mathematicae 50 143-190
  • [5] Zorzitto F(1991)On stability of additive mappings International Journal of Mathematics and Mathematical Sciences 14 431-434
  • [6] Forti GL(1994)A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings Journal of Mathematical Analysis and Applications 184 431-436
  • [7] Gajda Z(1996)The stability of the exponential equation Proceedings of the American Mathematical Society 124 779-787
  • [8] Găvruţa P(1992)Approximate homomorphisms Aequationes Mathematicae 44 125-153
  • [9] Ger R(1997)Hyers-Ulam-Rassias stability of functional equations Dynamic Systems and Applications 6 541-565
  • [10] Šemrl P(1978)On the stability of the linear mapping in Banach spaces Proceedings of the American Mathematical Society 72 297-300
123