Nonlocal Problem for a Third-Order Equation with Multiple
Characteristics with General Boundary Conditions

J 2021

Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions

SMETANOVÁ, Dana a Abdukomil RISBEKOVICH KHASHIMOV

Základní údaje

Originální název

Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions

Autoři

SMETANOVÁ, Dana (203 Česká republika, garant, domácí) a Abdukomil RISBEKOVICH KHASHIMOV

Vydání

Axioms, Basel, Switzerland, MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021, 2075-1680

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10100 1.1 Mathematics

Stát vydavatele

Švýcarsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Kód RIV

RIV/75081431:_____/21:00002207

Organizační jednotka

Vysoká škola technická a ekonomická v Českých Budějovicích

Klíčová slova anglicky

third order equations with multiple characteristic; boundary condition; nonlocal problem; uniqueness theorem; Fredholm integral equation of the second kind; existence theorem

Štítky

MAT_z, RIV21, WOS

Změněno: 7. 12. 2021 07:14, Mgr. Nikola Petříková

Anotace

V originále

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.

Přiložené soubory

Požádat o autorskou verzi souboru

Citovat

SMETANOVÁ, Dana a 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, roč. 10, č. 2, s. 1-7. ISSN 2075-1680.

@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 a 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, roč.~10, č.~2, s.~1-7. ISSN~2075-1680.

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