Year 2019, Volume 7 , Issue 2, Pages 157 - 165 2019-12-25

Generalized solution of boundary value problem with an inhomogeneous boundary condition

Elmira ABDYLDAEVA [1] , Gulbarchyn TAALAİBEK KYZY [2] , Bermet ANARKULOVA [3]


In this problem, we study the solution to boundary value problem for a controlled oscillation process, described by Fredholm integro-differential equation with an inhomogeneous boundary condition. An algorithm is developed for constructing a generalized solution of boundary value problem. It is proved that a weak generalized solution is an element of Hilbert space. Approximate solutions of the boundary value problem are determined and their convergence is proved.

 

Boundary value problem, Boundary control conditıon, Generalized solution, İntegral equation, Fourier series
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Primary Language en
Subjects Engineering
Journal Section Research Article
Authors

Orcid: 0000-0002-3874-9055
Author: Elmira ABDYLDAEVA (Primary Author)
Institution: KYRGYZ - TURKISH MANAS UNIVERSITY
Country: Kyrgyzstan


Orcid: 0000-0002-3874-9055
Author: Gulbarchyn TAALAİBEK KYZY
Institution: KYRGYZ - TURKISH MANAS UNIVERSITY
Country: Kyrgyzstan


Orcid: 0000-0002-3874-9055
Author: Bermet ANARKULOVA
Institution: KYRGYZ - TURKISH MANAS UNIVERSITY
Country: Kyrgyzstan


Dates

Publication Date : December 25, 2019

Bibtex @research article { mjen503761, journal = {MANAS Journal of Engineering}, issn = {1694-7398}, eissn = {1694-7398}, address = {}, publisher = {Kyrgyz-Turkish Manas University}, year = {2019}, volume = {7}, pages = {157 - 165}, doi = {}, title = {Generalized solution of boundary value problem with an inhomogeneous boundary condition}, key = {cite}, author = {ABDYLDAEVA, Elmira and TAALAİBEK KYZY, Gulbarchyn and ANARKULOVA, Bermet} }
APA ABDYLDAEVA, E , TAALAİBEK KYZY, G , ANARKULOVA, B . (2019). Generalized solution of boundary value problem with an inhomogeneous boundary condition. MANAS Journal of Engineering , 7 (2) , 157-165 . Retrieved from https://dergipark.org.tr/en/pub/mjen/issue/50947/503761
MLA ABDYLDAEVA, E , TAALAİBEK KYZY, G , ANARKULOVA, B . "Generalized solution of boundary value problem with an inhomogeneous boundary condition". MANAS Journal of Engineering 7 (2019 ): 157-165 <https://dergipark.org.tr/en/pub/mjen/issue/50947/503761>
Chicago ABDYLDAEVA, E , TAALAİBEK KYZY, G , ANARKULOVA, B . "Generalized solution of boundary value problem with an inhomogeneous boundary condition". MANAS Journal of Engineering 7 (2019 ): 157-165
RIS TY - JOUR T1 - Generalized solution of boundary value problem with an inhomogeneous boundary condition AU - Elmira ABDYLDAEVA , Gulbarchyn TAALAİBEK KYZY , Bermet ANARKULOVA Y1 - 2019 PY - 2019 N1 - DO - T2 - MANAS Journal of Engineering JF - Journal JO - JOR SP - 157 EP - 165 VL - 7 IS - 2 SN - 1694-7398-1694-7398 M3 - UR - Y2 - 2019 ER -
EndNote %0 MANAS Journal of Engineering Generalized solution of boundary value problem with an inhomogeneous boundary condition %A Elmira ABDYLDAEVA , Gulbarchyn TAALAİBEK KYZY , Bermet ANARKULOVA %T Generalized solution of boundary value problem with an inhomogeneous boundary condition %D 2019 %J MANAS Journal of Engineering %P 1694-7398-1694-7398 %V 7 %N 2 %R %U
ISNAD ABDYLDAEVA, Elmira , TAALAİBEK KYZY, Gulbarchyn , ANARKULOVA, Bermet . "Generalized solution of boundary value problem with an inhomogeneous boundary condition". MANAS Journal of Engineering 7 / 2 (December 2019): 157-165 .
AMA ABDYLDAEVA E , TAALAİBEK KYZY G , ANARKULOVA B . Generalized solution of boundary value problem with an inhomogeneous boundary condition. MJEN. 2019; 7(2): 157-165.
Vancouver ABDYLDAEVA E , TAALAİBEK KYZY G , ANARKULOVA B . Generalized solution of boundary value problem with an inhomogeneous boundary condition. MANAS Journal of Engineering. 2019; 7(2): 165-157.