Abstract
For bounded solutions of an operator-differential equation y′ (t)=Ay (t) in a reflexive Banach space, we establish the existence of generalized limits (in Abel's sense) at infinity.
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 809–813, July, 1994.
This work was partially supported by the Foundation for Fundamental Research of the Ukrainian State Committee on Science and Technology.
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Butyrin, A.A. On the behavior of solutions of operator-differential equations at infinity. Ukr Math J 46, 885–890 (1994). https://doi.org/10.1007/BF01056665
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DOI: https://doi.org/10.1007/BF01056665