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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 245–249 (Mi znsl1024)  
Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems

S. Yu. Slavyanov

St. Petersburg State University, Faculty of Physics
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Abstract: The relationship between eigenfunctions of Fredholm type integral equation with rapidly oscillating kernel and dynamic mapping is analysed. The differential operators commuting with Fourier operator are constructed. These operators are closely connected with nontrivial solutions of unperturbed nonlinear functional equation related to the dynamic mapping.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2822–2824
DOI: https://doi.org/10.1007/s10958-005-0239-3
Bibliographic databases:
UDC: 517.9
Language: English
Citation: S. Yu. Slavyanov, “Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 245–249; J. Math. Sci. (N. Y.), 128:2 (2005), 2822–2824
Citation in format AMSBIB
\Bibitem{Sla03}
\by S.~Yu.~Slavyanov
\paper Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 245--249
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1024}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1995365}
\zmath{https://zbmath.org/?q=an:1154.45300}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2822--2824
\crossref{https://doi.org/10.1007/s10958-005-0239-3}
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