Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2004.11.01
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Abstract

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.

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References

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