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


Differential Equation Banach Space Operator Differential Equation 
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Literature cited

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    M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis. Self-Adjointness, Academic Press, New York (1975).Google Scholar
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    V. I. Gorbachuk and M. L. Gorbachuk, Boundary-Value Problems for Operator Differential Equations [in Russian], Naukova Dumka, Kiev (1984).Google Scholar
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    Ya. V. Radyno, “The space of vectors of exponential type,” Dokl. Akad. Nauk BSSR, 1,27, No. 9, 791–793 (1983).Google Scholar
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    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
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    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
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    A. I. Markushevich, Theory of Analytic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1950).Google Scholar
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    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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