Maximal regularity and two-sided estimates of the approximation numbers of the nonlinear Sturm–Liouville equation solutions with rapidly oscillating coefficients in L2(ℝ)
Muratbekov M. Muratbekov M. Altynbek S.
15 September 2023John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2023#46Issue 1313661 - 13670 pp.
A theorem on the maximum regularity of solutions of the nonlinear Sturm–Liouville equation with greatly growing and rapidly oscillating potential in the space (Figure presented.) is proved in this paper. Two-sided estimates of the Kolmogorov widths of the sets associated with solutions of the nonlinear Sturm–Liouville equation are also obtained. As is known, the obtained estimates give the opportunity to choose approximation apparatus that guarantees the minimum possible error.
-numbers , approximation numbers , Kolmogorov numbers , maximal regularity , oscillating coefficients , Sturm–Liouville theory
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Department of Information Security, L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
Mathematics in Education, Taraz Regional University named after M.Kh. Dulaty (Dulaty University), Taraz, Kazakhstan
Research and International Relations, Kazakh University of Technology and Business, Nur-Sultan, Kazakhstan
Department of Information Security
Mathematics in Education
Research and International Relations
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