On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions

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• 作者：Sz. Andrá ; s ; ^{andraszk@yahoo.com} ; ^{andrasz@math.ubbcluj.ro} ; J.J. Kolumbá ; n ^{jozsi_k91@yahoo.com}
• 关键词：34G20 ; 34A40 ; 45N05 ; 47H10
• 刊名：Nonlinear Analysis
• 出版年：2013
• 出版时间：April, 2013
• 年：2013
• 卷：82
• 期：Complete
• 页码：1-11
• 全文大小：394 K

文摘

In this paper we investigate the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions on compact intervals (in ) and on noncompact intervals (in , with suitable weight function ). The novelty consists in the simultaneous use of vectorial norms, convergent to zero matrices, Sobolev spaces for studying the Ulam-Hyers stability of equations with nonlocal conditions on noncompact intervals.