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Vestnik Udmurtskogo Universiteta. Matematika, 2005, Issue 1, Pages 21–34
(Mi vuu225)
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MATHEMATICS
About some characteristics of average value of almost periodic square-law form
M. A. Voronetskaja Udmurt State University, Izhevsk
Abstract:
Necessary and sufficient conditions of nonnegativity and necessary conditions of stronge positivity for average value of almost periodic in sense of Stepanov square-law form have been obtained. Those conditions have been used for obtaining of necessary second order conditions to solving of problem: $\lim\limits_{T\to\infty}\frac1T\int\limits_0^T L\bigl(t,x(t),\dot x(t)\bigr)\,dt\to\inf$, defined on the set of almost periodic functions in sense of Bohr, with the derivatives are almost periodic in sense of Stepanov.
Received: 01.10.2004
Citation:
M. A. Voronetskaja, “About some characteristics of average value of almost periodic square-law form”, Vestn. Udmurtsk. Univ. Mat., 2005, no. 1, 21–34
Linking options:
https://www.mathnet.ru/eng/vuu225 https://www.mathnet.ru/eng/vuu/y2005/i1/p21
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