SMETANOVÁ, Dana and Abdukomil RISBEKOVICH KHASHIMOV. Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions. Axioms. Basel, Switzerland: MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021, vol. 10, No 2, p. 1-7. ISSN 2075-1680. |
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@article{61141, author = {Smetanová, Dana and Risbekovich Khashimov, Abdukomil}, article_location = {Basel, Switzerland}, article_number = {2}, keywords = {third order equations with multiple characteristic; boundary condition; nonlocal problem; uniqueness theorem; Fredholm integral equation of the second kind; existence theorem}, language = {eng}, issn = {2075-1680}, journal = {Axioms}, title = {Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions}, url = {https://www.mdpi.com/2075-1680/10/2/110/htm}, volume = {10}, year = {2021} }
TY - JOUR ID - 61141 AU - Smetanová, Dana - Risbekovich Khashimov, Abdukomil PY - 2021 TI - Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions JF - Axioms VL - 10 IS - 2 SP - 1-7 EP - 1-7 PB - MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND SN - 20751680 KW - third order equations with multiple characteristic KW - boundary condition KW - nonlocal problem KW - uniqueness theorem KW - Fredholm integral equation of the second kind KW - existence theorem UR - https://www.mdpi.com/2075-1680/10/2/110/htm N2 - The article considers third-order equations with multiple characteristics with general boundary value conditions and non-local initial data. A regular solution to the problem with known methods is constructed here. The uniqueness of the solution to the problem is proved by the method of energy integrals. This uses the theory of non-negative quadratic forms. The existence of a solution to the problem is proved by reducing the problem to Fredholm integral equations of the second kind. In this case, the method of Green’s function and potential is used. ER -
SMETANOVÁ, Dana and Abdukomil RISBEKOVICH KHASHIMOV. Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions. \textit{Axioms}. Basel, Switzerland: MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021, vol.~10, No~2, p.~1-7. ISSN~2075-1680.
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