DOI QR코드

DOI QR Code

HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy

  • Miura, Takeshi Miura (Department of Basic Technology Applied Mathematics and Physics Yamagata University) ;
  • Jung, Soon-Mo (Mathematics Section College of Science and Technology Hong-Ik University) ;
  • Takahasi, Sin-Ei (Department of Basic Technology Applied Mathematics and Physics Yamagata University)
  • 발행 : 2004.11.01

초록

The aim of this paper is to prove the stability in the sense of Hyers-Ulam- Rassias of the Banach space valued differentialequation y' = λy, where λ is a complex constant. That is, suppose f is a Banach space valued strongly differentiable function on an open interval. If f is an approximate solution of the equation y' = λy, then there exists an exact solution of the equation near to f.

키워드

참고문헌

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