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Article

On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type

1
Tashkent Finance Institute, Tashkent 1000000, Uzbekistan
2
Institute of Technology and Business in České Budějovice, 370 01 České Budějovice, Czech Republic
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Authors to whom correspondence should be addressed.
Axioms 2020, 9(3), 80; https://doi.org/10.3390/axioms9030080
Received: 9 June 2020 / Revised: 1 July 2020 / Accepted: 13 July 2020 / Published: 16 July 2020
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. View Full-Text
Keywords: equations of the pseudo-elliptic type of third order; energy estimate; analog of the Saint-Venant principle equations of the pseudo-elliptic type of third order; energy estimate; analog of the Saint-Venant principle
MDPI and ACS Style

Khashimov, A.R.; Smetanová, D. On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type. Axioms 2020, 9, 80. https://doi.org/10.3390/axioms9030080

AMA Style

Khashimov AR, Smetanová D. On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type. Axioms. 2020; 9(3):80. https://doi.org/10.3390/axioms9030080

Chicago/Turabian Style

Khashimov, Abdukomil R., and Dana Smetanová. 2020. "On the Uniqueness Classes of Solutions of Boundary Value Problems for Third-Order Equations of the Pseudo-Elliptic Type" Axioms 9, no. 3: 80. https://doi.org/10.3390/axioms9030080

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