Email this article Boundary-value problems for some higher-order nonclassical differential equations
- Authors: Kozhanov A.I.1, Pinigina N.R.2
-
Affiliations:
- Sobolev Institute of Mathematics
- FSAEI of Higher Professional Education
- Issue: Vol 101, No 3-4 (2017)
- Pages: 467-474
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150008
- DOI: https://doi.org/10.1134/S0001434617030087
- ID: 150008
Cite item
Open Access
Access granted
Subscription Access
Abstract
The paper consists of two parts. The first part deals with the solvability of new boundary-value problems for the model quasihyperbolic equations (−1)pDt2pu = Au + f(x, t), where p > 1, for a self-adjoint second-order elliptic operator A. For the problems under study, the existence and uniqueness theorems are proved for regular solutions. In the second part, the results obtained in the first part are somewhat sharpened and generalized.
About the authors
A. I. Kozhanov
Sobolev Institute of Mathematics
Author for correspondence.
Email: kozhanov@math.nsc.ru
Russian Federation, Novosibirsk
N. R. Pinigina
FSAEI of Higher Professional Education
Email: kozhanov@math.nsc.ru
Russian Federation, Yakutsk
Supplementary files
