Graduated from Faculty of Mathematics of Voronezh State University in 1976 (department of algebra and topological methods of analysis). Ph.D. thesis was defended in 1987. A list of my works contains more than 20 titles.
Main publications:
Dymarskii Ya. M. On manifolds of self-adjoint elliptic operators with multiple eigenvalues // Methods of Functional Analysis and Topology, 2001, 7(2), 68–74.
Dymarskii Ya. M. The Periodic Choquard Equation // Operator Theory: Advances and Applications, 2000, 117, 87–99.
Ya. M. Dymarskii, A. A. Bondar', “An eigenfunction manifold generated by a family of periodic boundary value problems”, Mat. Sb., 212:9 (2021), 18–39; Sb. Math., 212:9 (2021), 1208–1227
Ya. M. Dymarskii, Yu. A. Evtushenko, “Foliation of the space of periodic boundary-value problems by hypersurfaces corresponding to fixed lengths of the $n$th spectral lacuna”, Mat. Sb., 207:5 (2016), 43–68; Sb. Math., 207:5 (2016), 678–701
Ya. M. Dymarskii, D. N. Nepiypa, “A quasilinear method in the theory of small eigenfunctions for nonlinear periodic boundary-value problems”, CMFD, 36 (2010), 72–86; Journal of Mathematical Sciences, 171:1 (2010), 58–73
Ya. M. Dymarskii, “Manifold Method in Eigenvector Theory of Nonlinear Operators”, CMFD, 24 (2007), 3–159; Journal of Mathematical Sciences, 154:5 (2008), 655–815
Ya. M. Dymarskii, “On topological properties of manifolds of eigenfunctions generated by a family of periodic Sturm–Liouville problems”, CMFD, 16 (2006), 22–37; Journal of Mathematical Sciences, 149:5 (2008), 1488–1503
2002
6.
Ya. M. Dymarskii, “Intersection number and eigenvectors of quasilinear Hilbert–Schmidt operators”, Mat. Fiz. Anal. Geom., 9:4 (2002), 604–621
Ya. M. Dymarskii, “On a countable set of normalized eigenfunctions of a nonlinear periodic problem with a transformed argument”, Differ. Uravn., 35:10 (1999), 1337–1342; Differ. Equ., 35:10 (1999), 1353–1359
1998
9.
Ya. M. Dymarskii, “On normalized eigenfunctions of a class of quasilinear elliptic equations”, Differ. Uravn., 34:1 (1998), 127–129; Differ. Equ., 34:1 (1998), 131–134
Functional of eigenvalues on the manifold of potentials Ya. M. Dymarskii III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 13, 2023 16:10
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