To the Question of the Solvability of the Ionkin Problem for Partial Differential Equations Full article
| Journal |
Mathematics
, E-ISSN: 2227-7390 |
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| Output data | Year: 2024, Volume: 12, Number: 3, Pages: 487-500 Pages count : 14 DOI: 10.3390/math12030487 | ||
| Tags | spatial nonlocal problems; Ionkin condition; splitting method; regular solutions; existence; uniqueness | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 23-21-00269 |
Abstract:
We study the solvability of the Ionkin problem for some differential equations with one space variable. These equations include parabolic and quasiparabolic, hyperbolic and quasihyperbolic, pseudoparabolic and pseudohyperbolic, elliptic and quasielliptic equations and equations of manyother types. For the above equations, the following theorems are proved with the use of the splitting method: the existence of regular solutions—solutions that all have weak derivatives in the sense of S. L. Sobolev and occur in the corresponding equation.
Cite:
Kozhanov A.I.
To the Question of the Solvability of the Ionkin Problem for Partial Differential Equations
Mathematics. 2024. V.12. N3. P.487-500. DOI: 10.3390/math12030487 WOS Scopus РИНЦ OpenAlex
To the Question of the Solvability of the Ionkin Problem for Partial Differential Equations
Mathematics. 2024. V.12. N3. P.487-500. DOI: 10.3390/math12030487 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Dec 1, 2023 |
| Accepted: | Jan 26, 2024 |
| Published print: | Feb 2, 2024 |
| Published online: | Feb 2, 2024 |
Identifiers:
| Web of science: | WOS:001160203600001 |
| Scopus: | 2-s2.0-85184679314 |
| Elibrary: | 66462237 |
| OpenAlex: | W4391542266 |