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Existence of integral manifolds for impulsive differential equations in a Banach space

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Abstract

A theorem of existence fort→±∞ of integral manifolds of impulsive equations is proved under the assumption that the spectrum of the linear part of these equations may contain points lying in a neighborhood of the imaginary axis.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Plovdiv, Plovdiv, Bulgaria

    D. D. Bainov & S. I. Kostadinov

  2. Department of Mathematics, Byelorussian State University, Bulgaria

    Nguyêñ Hông Thái & P. P. Zabreiko

Authors
  1. D. D. Bainov
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  2. S. I. Kostadinov
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  3. Nguyêñ Hông Thái
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  4. P. P. Zabreiko
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Bainov, D.D., Kostadinov, S.I., Thái, N.H. et al. Existence of integral manifolds for impulsive differential equations in a Banach space. Int J Theor Phys 28, 815–833 (1989). https://doi.org/10.1007/BF00669824

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  • DOI: https://doi.org/10.1007/BF00669824

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