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- W4293221200 abstract "A theorem on the maximum regularity of solutions of the nonlinear Sturm-Liouville equation with greatly growing and rapidly oscillating potential in the space $L_2(R),(R=(-infty,infty))$ 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 given the opportunity to choose approximation apparatus that guarantees the maximum possible error." @default.
- W4293221200 created "2022-08-27" @default.
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- W4293221200 date "2022-08-25" @default.
- W4293221200 modified "2023-09-28" @default.
- W4293221200 title "CMMSE: Maximal regularity and two-sided estimates of the approximation numbers of the nonlinear Sturm-Liouville equation solutions with rapidly oscillating coefficients in $L_{2} (R)$" @default.
- W4293221200 doi "https://doi.org/10.22541/au.166140188.85212632/v1" @default.
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