On continuous dependence of solutions of linear differential equations on a parameter in a Banach space

Authors

  • Tkhe Khoan Nguen
  • Ngok Boi Fam

Abstract

We prove the reduction theorem for linear differential equations in a Banach space in the case where the convergence is strong. This result is used to obtain the necessary and sufficient conditions for continuous dependence of solutions on a parameter.

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Published

25.02.1999

Issue

Vol. 51 No. 2 (1999)

Section

Short communications

How to Cite

Nguen, Tkhe Khoan, and Ngok Boi Fam. “On Continuous Dependence of Solutions of Linear Differential Equations on a Parameter in a Banach Space”. Ukrains’kyi Matematychnyi Zhurnal, vol. 51, no. 2, Feb. 1999, pp. 275–280, https://umj.imath.kiev.ua/index.php/umj/article/view/4610.