지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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We consider the Hyers-Ulam-Rassias stability problem $${\parallel}u{\circ}A-{\upsilon}{\circ}P_1-w{\circ}P_2{\parallel}{\leq}{\varepsilon}({\mid}x{\mid}^p+{\mid}y{\mid}^p)$$ for the Schwartz distributions u, ${\upsilon}$, w, which is a distributional version of the Pexider generalization of the Hyers-Ulam-Rassias stability problem ${\mid}(x+y)-g(x)-h(y){\mid}{\leq}{\varepsilon}({\mid}x{\mid}^p+{\mid}y{\mid}^p)$, x, $y{\in}\mathbb{R}^n$, for the functions f, g, h : $\mathbb{R}^n{\rightarrow}\mathbb{C}$.
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참고문헌 (19)
참고문헌 신청
J. A. Baker / 2001 / Distributional methods for functional equations / Aeq. Math 62:136~142
P. W. Cholewa / 1984 / Remarks on the stability of functional equations / Aequationes Math 27:76~86
J. Chung / 2005 / A distributional version of functional equations and their stabilities / Nonlinear Analysis 62:1037~1051
J. Chung / 2004 / Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions / J. Math. Anal. Appl 300:343~350
J. Chung / 2003 / Stability of functional equations in the space of distributions and hyperfunctions / J. Math. Anal. Appl 286:177~186
P. W. Cholewa / 1984 / Remarks on the stability of functional equations / Aequationes Math 27:76~86
J. Chung / 2005 / A distributional version of functional equations and their stabilities / Nonlinear Analysis 62:1037~1051
J. Chung / 2004 / Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions / J. Math. Anal. Appl 300:343~350
J. Chung / 2003 / Stability of functional equations in the space of distributions and hyperfunctions / J. Math. Anal. Appl 286:177~186
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