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On the invertibility of the operator \(\frac{d}{{dt}} + A\) in the space L 2 (ℝ, H)

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Nonlinear Oscillations

Abstract

We strengthen the assertion on the continuous invertibility of the operator \(\frac{d}{{dt}} + A\) in the space L 2(ℝ, H), where H is a complex Hilbert space and A is a sectorial operator with spectrum in the right half-plane of ℂ.

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv

    M. F. Horodnii & A. V. Chaikovs’kyi

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  1. M. F. Horodnii
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  2. A. V. Chaikovs’kyi
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Translated from Neliniini Kolyvannya, Vol. 9, No. 1, pp. 31–36, January–March, 2006.

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Horodnii, M.F., Chaikovs’kyi, A.V. On the invertibility of the operator \(\frac{d}{{dt}} + A\) in the space L 2 (ℝ, H). Nonlinear Oscill 9, 28–33 (2006). https://doi.org/10.1007/s11072-006-0022-5

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  • DOI: https://doi.org/10.1007/s11072-006-0022-5

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