ЯКІСНИЙ АНАЛІЗМАТЕМАТИЧНИХ МОДЕЛЕЙ ПРОЦЕСІВ І ПРИСТРОЇВ ПЕРВИННОЇ ОБРОБКИ ВУГЛЕВОДНЕВОЇ СИРОВИНИ НА ОСНОВІ УЗАГАЛЬНЕНИХ МОДЕЛЕЙ
Theorems of existence and uniqueness of the decision of system of the equations in the private derivatives, representing the generalized mathematical model of processes and devices of preprocessing of crude hydrocarbons are formulated and proved. Generalization gives the chance to apply the principl...
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| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Kamianets-Podilskyi National Ivan Ohiienko University
2013
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| Онлайн доступ: | http://mcm-tech.kpnu.edu.ua/article/view/24480 |
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| Назва журналу: | Mathematical and computer modelling. Series: Technical sciences |
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Mathematical and computer modelling. Series: Technical sciences| id |
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mcmtechkpnueduua-article-244802019-03-06T13:18:41Z The qualitative analysis of mathematical models of processes and devices of the crude hydrocarbons preprocessing on the basis of the models general concept ЯКІСНИЙ АНАЛІЗМАТЕМАТИЧНИХ МОДЕЛЕЙ ПРОЦЕСІВ І ПРИСТРОЇВ ПЕРВИННОЇ ОБРОБКИ ВУГЛЕВОДНЕВОЇ СИРОВИНИ НА ОСНОВІ УЗАГАЛЬНЕНИХ МОДЕЛЕЙ Polozhaenko, Sergey Anatolievich mathematical model synthesis of the mathematical description system of the equations in private derivatives theorems of existence and uniqueness of the decision. mathematical model synthesis of the mathematical description system of the equations in private derivatives theorems of existence and uniqueness of the decision. Theorems of existence and uniqueness of the decision of system of the equations in the private derivatives, representing the generalized mathematical model of processes and devices of preprocessing of crude hydrocarbons are formulated and proved. Generalization gives the chance to apply the principle of unification and typification when developing a method of numerical realization of mathematical models of a class of processes (devices) of preprocessing of crude hydrocarbons, and the proof of the corresponding theorems (an essence ― the qualitative analysis) provides a correctness of application of the generalized model in applied problems of mathematical modelling of studied processes (devices). Proofs of the formulated theorems are strict, logically true and are consistently executed within terms of the functional analysis. Practical applicability of theorems of existence and uniqueness of the decision as component of the qualitative analysis, is defined by possibility of research on their basis of adequacy of algorithmic means of mathematical modelling of a studied class of processes (devices). Theorems of existence and uniqueness of the decision of system of the equations in the private derivatives, representing the generalized mathematical model of processes and devices of preprocessing of crude hydrocarbons are formulated and proved. Generalization gives the chance to apply the principle of unification and typification when developing a method of numerical realization of mathematical models of a class of processes (devices) of preprocessing of crude hydrocarbons, and the proof of the corresponding theorems (an essence ― the qualitative analysis) provides a correctness of application of the generalized model in applied problems of mathematical modelling of studied processes (devices). Proofs of the formulated theorems are strict, logically true and are consistently executed within terms of the functional analysis. Practical applicability of theorems of existence and uniqueness of the decision as component of the qualitative analysis, is defined by possibility of research on their basis of adequacy of algorithmic means of mathematical modelling of a studied class of processes (devices). Kamianets-Podilskyi National Ivan Ohiienko University 2013-11-19 Article Article application/pdf http://mcm-tech.kpnu.edu.ua/article/view/24480 10.32626/2308-5916.2013-9.99-107 Mathematical and computer modelling. Series: Technical sciences; 2013: Mathematical and computer modelling. Series: Technical sciences. Issue 9; 99-107 Математичне та комп'ютерне моделювання. Серія: Технічні науки ; 2013: Математичне та комп'ютерне моделювання. Серія: Технічні науки. Випуск 9; 99-107 2308-5916 10.32626/2308-5916.2013-9 en http://mcm-tech.kpnu.edu.ua/article/view/24480/21981 Авторське право (c) 2021 Математичне та комп'ютерне моделювання. Серія: Технічні науки |
| institution |
Mathematical and computer modelling. Series: Technical sciences |
| collection |
OJS |
| language |
English |
| topic |
mathematical model synthesis of the mathematical description system of the equations in private derivatives theorems of existence and uniqueness of the decision. mathematical model synthesis of the mathematical description system of the equations in private derivatives theorems of existence and uniqueness of the decision. |
| spellingShingle |
mathematical model synthesis of the mathematical description system of the equations in private derivatives theorems of existence and uniqueness of the decision. mathematical model synthesis of the mathematical description system of the equations in private derivatives theorems of existence and uniqueness of the decision. Polozhaenko, Sergey Anatolievich ЯКІСНИЙ АНАЛІЗМАТЕМАТИЧНИХ МОДЕЛЕЙ ПРОЦЕСІВ І ПРИСТРОЇВ ПЕРВИННОЇ ОБРОБКИ ВУГЛЕВОДНЕВОЇ СИРОВИНИ НА ОСНОВІ УЗАГАЛЬНЕНИХ МОДЕЛЕЙ |
| topic_facet |
mathematical model synthesis of the mathematical description system of the equations in private derivatives theorems of existence and uniqueness of the decision. mathematical model synthesis of the mathematical description system of the equations in private derivatives theorems of existence and uniqueness of the decision. |
| format |
Article |
| author |
Polozhaenko, Sergey Anatolievich |
| author_facet |
Polozhaenko, Sergey Anatolievich |
| author_sort |
Polozhaenko, Sergey Anatolievich |
| title |
ЯКІСНИЙ АНАЛІЗМАТЕМАТИЧНИХ МОДЕЛЕЙ ПРОЦЕСІВ І ПРИСТРОЇВ ПЕРВИННОЇ ОБРОБКИ ВУГЛЕВОДНЕВОЇ СИРОВИНИ НА ОСНОВІ УЗАГАЛЬНЕНИХ МОДЕЛЕЙ |
| title_short |
ЯКІСНИЙ АНАЛІЗМАТЕМАТИЧНИХ МОДЕЛЕЙ ПРОЦЕСІВ І ПРИСТРОЇВ ПЕРВИННОЇ ОБРОБКИ ВУГЛЕВОДНЕВОЇ СИРОВИНИ НА ОСНОВІ УЗАГАЛЬНЕНИХ МОДЕЛЕЙ |
| title_full |
ЯКІСНИЙ АНАЛІЗМАТЕМАТИЧНИХ МОДЕЛЕЙ ПРОЦЕСІВ І ПРИСТРОЇВ ПЕРВИННОЇ ОБРОБКИ ВУГЛЕВОДНЕВОЇ СИРОВИНИ НА ОСНОВІ УЗАГАЛЬНЕНИХ МОДЕЛЕЙ |
| title_fullStr |
ЯКІСНИЙ АНАЛІЗМАТЕМАТИЧНИХ МОДЕЛЕЙ ПРОЦЕСІВ І ПРИСТРОЇВ ПЕРВИННОЇ ОБРОБКИ ВУГЛЕВОДНЕВОЇ СИРОВИНИ НА ОСНОВІ УЗАГАЛЬНЕНИХ МОДЕЛЕЙ |
| title_full_unstemmed |
ЯКІСНИЙ АНАЛІЗМАТЕМАТИЧНИХ МОДЕЛЕЙ ПРОЦЕСІВ І ПРИСТРОЇВ ПЕРВИННОЇ ОБРОБКИ ВУГЛЕВОДНЕВОЇ СИРОВИНИ НА ОСНОВІ УЗАГАЛЬНЕНИХ МОДЕЛЕЙ |
| title_sort |
якісний аналізматематичних моделей процесів і пристроїв первинної обробки вуглеводневої сировини на основі узагальнених моделей |
| title_alt |
The qualitative analysis of mathematical models of processes and devices of the crude hydrocarbons preprocessing on the basis of the models general concept |
| description |
Theorems of existence and uniqueness of the decision of system of the equations in the private derivatives, representing the generalized mathematical model of processes and devices of preprocessing of crude hydrocarbons are formulated and proved. Generalization gives the chance to apply the principle of unification and typification when developing a method of numerical realization of mathematical models of a class of processes (devices) of preprocessing of crude hydrocarbons, and the proof of the corresponding theorems (an essence ― the qualitative analysis) provides a correctness of application of the generalized model in applied problems of mathematical modelling of studied processes (devices). Proofs of the formulated theorems are strict, logically true and are consistently executed within terms of the functional analysis. Practical applicability of theorems of existence and uniqueness of the decision as component of the qualitative analysis, is defined by possibility of research on their basis of adequacy of algorithmic means of mathematical modelling of a studied class of processes (devices). |
| publisher |
Kamianets-Podilskyi National Ivan Ohiienko University |
| publishDate |
2013 |
| url |
http://mcm-tech.kpnu.edu.ua/article/view/24480 |
| work_keys_str_mv |
AT polozhaenkosergeyanatolievich thequalitativeanalysisofmathematicalmodelsofprocessesanddevicesofthecrudehydrocarbonspreprocessingonthebasisofthemodelsgeneralconcept AT polozhaenkosergeyanatolievich âkísnijanalízmatematičnihmodelejprocesívípristroívpervinnoíobrobkivuglevodnevoísirovininaosnovíuzagalʹnenihmodelej AT polozhaenkosergeyanatolievich qualitativeanalysisofmathematicalmodelsofprocessesanddevicesofthecrudehydrocarbonspreprocessingonthebasisofthemodelsgeneralconcept |
| first_indexed |
2024-04-08T14:58:12Z |
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2024-04-08T14:58:12Z |
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