Formulas For Solutions Of The Riccati’s Equation

In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them. The equation provides all necessary conditions of the theorem....

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Main Authors: A. Asanov, E. Hazar, R. Asanov
Format: Article
Language:English
Published: Kyrgyz Turkish Manas University 2017-12-01
Series:MANAS: Journal of Engineering
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Online Access:https://dergipark.org.tr/en/download/article-file/576001
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author A. Asanov
E. Hazar
R. Asanov
author_facet A. Asanov
E. Hazar
R. Asanov
author_sort A. Asanov
collection DOAJ
description In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them. The equation provides all necessary conditions of the theorem. The possibility of the application of the obtained results is also considered. The particular solution and the general solutions of the Riccati equations (1) is presented in the common cases and will be written in the forms (3) and (4).
format Article
id doaj-art-7cb330c2c1cf4c2f8055d9c5c0f0ca46
institution Kabale University
issn 1694-7398
language English
publishDate 2017-12-01
publisher Kyrgyz Turkish Manas University
record_format Article
series MANAS: Journal of Engineering
spelling doaj-art-7cb330c2c1cf4c2f8055d9c5c0f0ca462025-02-03T12:02:38ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982017-12-015316241437Formulas For Solutions Of The Riccati’s EquationA. AsanovE. HazarR. AsanovIn this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them. The equation provides all necessary conditions of the theorem. The possibility of the application of the obtained results is also considered. The particular solution and the general solutions of the Riccati equations (1) is presented in the common cases and will be written in the forms (3) and (4).https://dergipark.org.tr/en/download/article-file/576001riccati’s equationparticular solutionformula for the general solutatıon.
spellingShingle A. Asanov
E. Hazar
R. Asanov
Formulas For Solutions Of The Riccati’s Equation
MANAS: Journal of Engineering
riccati’s equation
particular solution
formula for the general solutatıon.
title Formulas For Solutions Of The Riccati’s Equation
title_full Formulas For Solutions Of The Riccati’s Equation
title_fullStr Formulas For Solutions Of The Riccati’s Equation
title_full_unstemmed Formulas For Solutions Of The Riccati’s Equation
title_short Formulas For Solutions Of The Riccati’s Equation
title_sort formulas for solutions of the riccati s equation
topic riccati’s equation
particular solution
formula for the general solutatıon.
url https://dergipark.org.tr/en/download/article-file/576001
work_keys_str_mv AT aasanov formulasforsolutionsofthericcatisequation
AT ehazar formulasforsolutionsofthericcatisequation
AT rasanov formulasforsolutionsofthericcatisequation