Hello and thanks for the advice. I tried all your suggestions, unfortunately there is no improvement ??
I noticed two strange things – when I switched to the default theme the site was not displaying anything, just a white window. Anyway, the admin area was still accessible, but the problem was not solved.
I replaced all files from a fresh downloaded WordPress – no umprovement.
I’ve disabled all plugins by the phpMyAdmin method – nothing ??
When I ran the upgrade script it said that no upgrade is needed, because I already have the latest version.
Maybe I should wait for 3.9 and update again to see if it will fix the problem.