A non‐local boundary value problem for third‐order linear partial differential equation of composite type
In the paper non‐local boundary value problems for a one class of composite type equation with Laplace operator in the main part has been investigated. Using the methods of energy integrals and integral equations, theorems of the uniqueness and existence of a classical solution were proved. Firs...
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Vilnius Gediminas Technical University
2009-09-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/6562 |
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doaj-0efde58e16fb4fb581d47ec19b2169362021-07-02T06:05:38ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102009-09-0114310.3846/1392-6292.2009.14.407-421A non‐local boundary value problem for third‐order linear partial differential equation of composite typeObidzhan Salidzhanovich Zikirov0Faculty of Mechanics and Mathematics, National University of Uzbekistan VUZgorodok, Tashkent, 100174. Uzbekistan In the paper non‐local boundary value problems for a one class of composite type equation with Laplace operator in the main part has been investigated. Using the methods of energy integrals and integral equations, theorems of the uniqueness and existence of a classical solution were proved. First published online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/6562composite type equationnon‐local boundary‐value problemenergy integralsintegral equationsGreen functionLaplace operator |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Obidzhan Salidzhanovich Zikirov |
| spellingShingle |
Obidzhan Salidzhanovich Zikirov A non‐local boundary value problem for third‐order linear partial differential equation of composite type Mathematical Modelling and Analysis composite type equation non‐local boundary‐value problem energy integrals integral equations Green function Laplace operator |
| author_facet |
Obidzhan Salidzhanovich Zikirov |
| author_sort |
Obidzhan Salidzhanovich Zikirov |
| title |
A non‐local boundary value problem for third‐order linear partial differential equation of composite type |
| title_short |
A non‐local boundary value problem for third‐order linear partial differential equation of composite type |
| title_full |
A non‐local boundary value problem for third‐order linear partial differential equation of composite type |
| title_fullStr |
A non‐local boundary value problem for third‐order linear partial differential equation of composite type |
| title_full_unstemmed |
A non‐local boundary value problem for third‐order linear partial differential equation of composite type |
| title_sort |
non‐local boundary value problem for third‐order linear partial differential equation of composite type |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2009-09-01 |
| description |
In the paper non‐local boundary value problems for a one class of composite type equation with Laplace operator in the main part has been investigated. Using the methods of energy integrals and integral equations, theorems of the uniqueness and existence of a classical solution were proved.
First published online: 14 Oct 2010
|
| topic |
composite type equation non‐local boundary‐value problem energy integrals integral equations Green function Laplace operator |
| url |
https://journals.vgtu.lt/index.php/MMA/article/view/6562 |
| work_keys_str_mv |
AT obidzhansalidzhanovichzikirov anonlocalboundaryvalueproblemforthirdorderlinearpartialdifferentialequationofcompositetype AT obidzhansalidzhanovichzikirov nonlocalboundaryvalueproblemforthirdorderlinearpartialdifferentialequationofcompositetype |
| _version_ |
1721337780165935104 |