Boundary-value problem for equations with variable coefficients unsolvable with respect to the higher time derivative

Autor:	N. I. Bilusyak, B. Yo. Ptashnyk
Rok vydání:	2009
Předmět:	Statistics and Probability Nonlinear system Applied Mathematics General Mathematics Time derivative Mathematical analysis Boundary (topology) Boundary value problem Term (logic) Domain (mathematical analysis) Linear equation Variable (mathematics) Mathematics
Zdroj:	Journal of Mathematical Sciences. 162:44-58
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-009-9619-4
Popis:	In a cylindrical domain, we study the unique solvability of a boundary-value problem with data given on the whole boundary of the domain for a certain class of linear equations with partial higher-order derivatives that are unsolvable with respect to the higher time derivative with variable coefficients depending on spatial coordinates. The obtained results are transferred to the case where the equation is perturbed by a nonlinear term in the linear part.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::be80dcdae2a8bed30eb17f18e23f91f9 https://doi.org/10.1007/s10958-009-9619-4 Zobrazit plný text záznamu Plný text ve formátu PDF