Abstract
We investigate the properties of oscillating sums and integrals dependent on parameters. These properties are used for the estimation of the normal fundamental matrix of a linear system with rapidly oscillating coefficients and pulse influence at fixed moments of time.
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Petryshyn, R.I., Sopronyuk, T.M. Exponential Estimate for the Fundamental Matrix of a Linear Impulsive System. Ukrainian Mathematical Journal 53, 1316–1325 (2001). https://doi.org/10.1023/A:1013303811874
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DOI: https://doi.org/10.1023/A:1013303811874