Ukrainian Mathematical Journal

, Volume 40, Issue 5, pp 536–538 | Cite as

Behavior at infinity of solutions of an operator differential equation of first order in a Banach space

  • V. M. Gorbachuk
Brief Communications

Keywords

Differential Equation Banach Space Operator Differential Equation 
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Literature cited

  1. 1.
    M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis. Self-Adjointness, Academic Press, New York (1975).Google Scholar
  2. 2.
    V. I. Gorbachuk and M. L. Gorbachuk, Boundary-Value Problems for Operator Differential Equations [in Russian], Naukova Dumka, Kiev (1984).Google Scholar
  3. 3.
    Ya. V. Radyno, “The space of vectors of exponential type,” Dokl. Akad. Nauk BSSR, 1,27, No. 9, 791–793 (1983).Google Scholar
  4. 4.
    A. V. Knyazyuk, The Boundary Values of Infinitely Differentiable Semigroups [in Russian], Preprint No. 85.69, Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1985).Google Scholar
  5. 5.
    V. M. Gorbachuk and I. T. Matsishin, “On the solutions of evolution equations with degeneration in a Banach space,” in: Spectral Theory of Operator Differential Equations [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1986), pp. 5–10.Google Scholar
  6. 6.
    A. I. Markushevich, Theory of Analytic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1950).Google Scholar
  7. 7.
    M. L. Gorbachuk and N. I. Pivtorak, “On the solutions of evolution equations of parabolic type with degeneration,” Différents. Uravn.,21, No. 8, 1317–1324 (1985).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • V. M. Gorbachuk
    • 1
  1. 1.Kiev Polytechnic InstituteUSSR

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