On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type
The paper is devoted to solutions of the third order pseudo-elliptic type equations. An energy estimates for solutions of the equations considering transformation’s character of the body form were established by using of an analog of the Saint-Venant principle. In consequence of this estimate, the u...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-07-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/9/3/80 |
| _version_ | 1827713061625004032 |
|---|---|
| author | Abdukomil Risbekovich Khashimov Dana Smetanová |
| author_facet | Abdukomil Risbekovich Khashimov Dana Smetanová |
| author_sort | Abdukomil Risbekovich Khashimov |
| collection | DOAJ |
| description | The paper is devoted to solutions of the third order pseudo-elliptic type equations. An energy estimates for solutions of the equations considering transformation’s character of the body form were established by using of an analog of the Saint-Venant principle. In consequence of this estimate, the uniqueness theorems were obtained for solutions of the first boundary value problem for third order equations in unlimited domains. The energy estimates are illustrated on two examples. |
| first_indexed | 2024-03-10T18:26:56Z |
| format | Article |
| id | doaj.art-ab3a0d93aed74dea9f637809b9aa5b4b |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T18:26:56Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-ab3a0d93aed74dea9f637809b9aa5b4b2023-11-20T06:55:58ZengMDPI AGAxioms2075-16802020-07-01938010.3390/axioms9030080On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic TypeAbdukomil Risbekovich Khashimov0Dana Smetanová1Tashkent Finance Institute, Tashkent 1000000, UzbekistanInstitute of Technology and Business in České Budějovice, 370 01 České Budějovice, Czech RepublicThe paper is devoted to solutions of the third order pseudo-elliptic type equations. An energy estimates for solutions of the equations considering transformation’s character of the body form were established by using of an analog of the Saint-Venant principle. In consequence of this estimate, the uniqueness theorems were obtained for solutions of the first boundary value problem for third order equations in unlimited domains. The energy estimates are illustrated on two examples.https://www.mdpi.com/2075-1680/9/3/80equations of the pseudo-elliptic type of third orderenergy estimateanalog of the Saint-Venant principle |
| spellingShingle | Abdukomil Risbekovich Khashimov Dana Smetanová On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type Axioms equations of the pseudo-elliptic type of third order energy estimate analog of the Saint-Venant principle |
| title | On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type |
| title_full | On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type |
| title_fullStr | On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type |
| title_full_unstemmed | On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type |
| title_short | On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type |
| title_sort | on the uniqueness classes of solutions of boundary value problems for third order equations of the pseudo elliptic type |
| topic | equations of the pseudo-elliptic type of third order energy estimate analog of the Saint-Venant principle |
| url | https://www.mdpi.com/2075-1680/9/3/80 |
| work_keys_str_mv | AT abdukomilrisbekovichkhashimov ontheuniquenessclassesofsolutionsofboundaryvalueproblemsforthirdorderequationsofthepseudoelliptictype AT danasmetanova ontheuniquenessclassesofsolutionsofboundaryvalueproblemsforthirdorderequationsofthepseudoelliptictype |