на із проблем кручення кусково-однорідних пружних тіл
Ключові слова:Legendre equation, Fourier equation, Sturm-Liouville problem, hybrid integral transform, hybrid differential operator, the main solutions.
АнотаціяBy means of method of hybrid integral transform of Legendre-Fourier-Fourier type integral representation of exact analytical solution of the problem of torsion of semi-bounded piecewise homogeneous elastic cylinder is obtained.
Arutyunyan N. Torsion of Elastic Bodies / N. Arutyunyan, B. Abramyan. — Physmatgis, 1963. — 688 p.
Grilitsky D. Torsion of two-layer elastic medium / D. Grilitsky // Appl. Mech. — 1961. — Vol. 7, № 1. — P. 89–95.
Protsenko V. Hybrid integral Fourier-Hankel transforms and some torsion problem of piecewise-homogeneous media / V. Protsenko, Т. Кashavel // Dy-namics of systems with the mobile distributed load : col. of scien. p. — Kharkov, 1978. — № 1. — P. 120–124.
Konet I. Integral Mehler — Fock transforms / І. Коnеt, М. Leniuk. — Chernivtsi : Prut, 2002. — 248 p.
Stepanov V. The course of differential equations / V. Stepanov. — M. : Phys-matgis, 1959. — 468 p.
Fikhtengol'ts G. Course of differential and integral calculus : in 3 volumes / G. Fikhtengol'ts. — M. : Nauka, 1969. — Vol. 3. — 656 p.
ЛіцензіяAuthors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).