Abstract
In the present paper, we consider a dynamic nonlinear integral inequality with a power-law nonlinearity. We obtain a solution of this inequality for arbitrary nonlinearity exponents exceeding unity. These results can be constructively used in the analysis of stability properties (including nonclassical stability properties) of quasilinear dynamic equations.
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Original Russian Text © A.A. Martynyuk, V.I. Slyn’ko, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 10, pp. 1420–1426.
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Martynyuk, A.A., Slyn’ko, V.I. On a nonlinear inequality on the time scale. Diff Equat 44, 1482–1488 (2008). https://doi.org/10.1134/S0012266108100157
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DOI: https://doi.org/10.1134/S0012266108100157