Abstract
This paper deals with a class of elastic systems with structural damping subject to nonlocal conditions. By using a suitable measure of noncompactness on the space of continuous functions on the half-line, we establish the existence of mild solutions with explicit decay rate of exponential type. An example is given to illustrate the abstract results.
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Published in Russian in Vestnik Sankt-Peterburgskogo Universiteta: Matematika, Mekhanika, Astronomiya, 2017, Vol. 62, No. 1, pp. 87–103.
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Luong, V.T., Tung, N.T. Decay mild solutions for elastic systems with structural damping involving nonlocal conditions. Vestnik St.Petersb. Univ.Math. 50, 55–67 (2017). https://doi.org/10.3103/S1063454117010083
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DOI: https://doi.org/10.3103/S1063454117010083