Boundary value problem for the third-order equation with multiple characteristics

<p>The article constructs a unique solution to a tertiary-order equation with multiple characteristics with boundary conditions that include all possible local boundary conditions. The uniqueness of the solution of boundary value problems is proved by the method of integral equations using the...

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Asıl Yazarlar: Djumaniyazova Khilola Atamuratovna (Yazar), Khashimov Abdukomil Risbekovich (Yazar)
Materyal Türü: Kitap
Baskı/Yayın Bilgisi: Annals of Mathematics and Physics - Peertechz Publications, 2023-01-06.
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Özet:<p>The article constructs a unique solution to a tertiary-order equation with multiple characteristics with boundary conditions that include all possible local boundary conditions. The uniqueness of the solution of boundary value problems is proved by the method of integral equations using the sign-definiteness of quadratic forms. When proving the existence of a solution to the problem, Green's function method, the theory of integral equations and potentials are used.</p>
DOI:10.17352/amp.000067