Ukrains’kyi Matematychnyi Zhurnal
(Ukrainian Mathematical Journal)
Ukrains'kyi Matematychnyi Zhurnal (UMZh) was founded in May 1949. Journal is issued by Institute of Mathematics NAS of Ukraine. English version is reprinted in the Springer publishing house and called Ukrainian Mathematical Journal.
Ukrains'kyi Matematychnyi Zhurnal focuses on research papers in the principal fields of pure and applied mathematics. The journal is published monthly, each annual volume consists of 12 issues. Articles in Ukrainian, Russian and English are accepted for review.
Latest Articles (April 2017)
Ukr. Mat. Zh. - 2017. - 69, № 4. - pp. 520-529
We study the ratios of parameters for Ramanujan’s function $χ(q)$ and their explicit values.
Existence of the solitary traveling waves for a system of nonlinearly coupled oscillators on the 2d -lattice
Ukr. Mat. Zh. - 2017. - 69, № 4. - pp. 435-444
We consider a system of differential equations that describes the dynamics of an infinite system of nonlinearly coupled nonlinear oscillators on the 2d-lattice. By the method of critical points, we obtain a result on existence of the solitary traveling waves.
On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs
Ukr. Mat. Zh. - 2017. - 69, № 4. - pp. 445-455
It is shown that some results concerning the multiplicities of eigenvalues of the spectral problem that describes small transverse vibrations of a star graph of Stieltjes strings and the multiplicities of the eigenvalues of tree-patterned matrices can be used for the description of possible multiplicities of normal eigenvalues (bound states) of the Sturm – Liouville operator on a star graph.