Pub Date : 2019-07-02DOI: 10.24144/2616-7700.2019.1(34).79-65
Володимир Миколайович Домрачев, В. В. Третиник
{"title":"Застосування векторної авторегресiї для моделювання динамiки макроекономiчних показникiв розвитку економiки України","authors":"Володимир Миколайович Домрачев, В. В. Третиник","doi":"10.24144/2616-7700.2019.1(34).79-65","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.1(34).79-65","url":null,"abstract":"","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47152248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-02DOI: 10.24144/2616-7700.2019.1(34).7-11
С. І. Балога
{"title":"Стiйкiсть iнварiантного многовиду нелiнiйної системи диференцiальних рiвнянь","authors":"С. І. Балога","doi":"10.24144/2616-7700.2019.1(34).7-11","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.1(34).7-11","url":null,"abstract":"","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47350475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-02DOI: 10.24144/2616-7700.2019.1(34).26-41
Н. П. Колун
In this paper for the second-order differential equation which has a right-hand side containing the sum of the terms with regularly and rapidly varying nonlinearities the necessary and sufficient conditions of the existence so-called Pω(Y0,λ0) – solutions (Y0 is either 0, or ±∞, −∞ < a < ω ≤ +∞) in a special case when the parameter λ0 = ±∞ are established. The asymptotic representations when t ↑ ω for such solutions and their first-order derivatives also are established. The results of the work were obtained on the assumption that on each solution from the class under consideration the right-hand side of the differential equation being studied is equivalent when t ↑ ω to one term with a rapidly varying nonlinearity. This term must be considered as the principal one on the right side of the equation. The method of allocation of the main term was proposed by H. Hardy when studying the differential equation of the first order. Later, A.V. Kostin, V.M. Evtukhov, E.V. Shebanina used this method in studying the asymptotic properties of solutions of differential equations of n-th order with power nonlinearities. In the study of the asymptotic properties of the set Pω(Y0,λ0) - solutions that corresponds to this value of the parameter λ0, was used the method proposed by V.M. Evtukhov during the study together with A.G. Chernikova binomial differential equation with rapidly varying nonlinearity. The work has a theoretical nature. The results obtained and the method employed in the work can be used to construct an asymptotic theory of differential equations of a more general type containing the sum of the terms in the right-hand side with regularly and rapidly varying nonlinearities.
{"title":"Асимптотична поведiнка розв’язкiв диференцiальних рiвнянь другого порядку з нелiнiйностями рiзного виду","authors":"Н. П. Колун","doi":"10.24144/2616-7700.2019.1(34).26-41","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.1(34).26-41","url":null,"abstract":"In this paper for the second-order differential equation which has a right-hand side containing the sum of the terms with regularly and rapidly varying nonlinearities the necessary and sufficient conditions of the existence so-called Pω(Y0,λ0) – solutions (Y0 is either 0, or ±∞, −∞ < a < ω ≤ +∞) in a special case when the parameter λ0 = ±∞ are established. The asymptotic representations when t ↑ ω for such solutions and their first-order derivatives also are established. The results of the work were obtained on the assumption that on each solution from the class under consideration the right-hand side of the differential equation being studied is equivalent when t ↑ ω to one term with a rapidly varying nonlinearity. This term must be considered as the principal one on the right side of the equation. The method of allocation of the main term was proposed by H. Hardy when studying the differential equation of the first order. Later, A.V. Kostin, V.M. Evtukhov, E.V. Shebanina used this method in studying the asymptotic properties of solutions of differential equations of n-th order with power nonlinearities. In the study of the asymptotic properties of the set Pω(Y0,λ0) - solutions that corresponds to this value of the parameter λ0, was used the method proposed by V.M. Evtukhov during the study together with A.G. Chernikova binomial differential equation with rapidly varying nonlinearity. The work has a theoretical nature. The results obtained and the method employed in the work can be used to construct an asymptotic theory of differential equations of a more general type containing the sum of the terms in the right-hand side with regularly and rapidly varying nonlinearities.","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69123420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-02DOI: 10.24144/2616-7700.2019.1(34).52-59
О. А. Тилищак
{"title":"Про спадково незвiднi унiмономiальнi зображення циклiчних p-груп над локальними кiльцями характеристики p","authors":"О. А. Тилищак","doi":"10.24144/2616-7700.2019.1(34).52-59","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.1(34).52-59","url":null,"abstract":"","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69124606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-02DOI: 10.24144/2616-7700.2019.1(34).86-93
Є. В. Iвохiн, Л. Т. Аджубей
{"title":"Про використання моделей дифузiйних процесiв для опису динамiки розповсюдження iнформацiї","authors":"Є. В. Iвохiн, Л. Т. Аджубей","doi":"10.24144/2616-7700.2019.1(34).86-93","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.1(34).86-93","url":null,"abstract":"","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49153879","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-02DOI: 10.24144/2616-7700.2019.1(34).69-78
Л. Ф. Гуляницький, В. В. Сторчевий
{"title":"Одна спецiальна задача маршрутизацiї БПЛА","authors":"Л. Ф. Гуляницький, В. В. Сторчевий","doi":"10.24144/2616-7700.2019.1(34).69-78","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.1(34).69-78","url":null,"abstract":"","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48075462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-02DOI: 10.24144/2616-7700.2019.1(34).94-101
Петро Іванович Стецюк, В. О. Стовба, О. О. Жмуд
{"title":"Про швидкiсть збiжностi субградiєнтих методiв з кроком Поляка","authors":"Петро Іванович Стецюк, В. О. Стовба, О. О. Жмуд","doi":"10.24144/2616-7700.2019.1(34).94-101","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.1(34).94-101","url":null,"abstract":"","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69124714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-02DOI: 10.24144/2616-7700.2019.1(34).102-107
Л. І. Фундак, Г. Г. Цегелик, Мирослава Іванівна Глебена
{"title":"Ефективнiсть методу двiйкового пошуку записiв у файлах баз даних у випадку розподiлу ймовiрностей звертання до записiв за законом Зiпфа","authors":"Л. І. Фундак, Г. Г. Цегелик, Мирослава Іванівна Глебена","doi":"10.24144/2616-7700.2019.1(34).102-107","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.1(34).102-107","url":null,"abstract":"","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69123726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-01DOI: 10.24144/2616-7700.2019.2(35).105-111
Мирослава Іванівна Глебена, Г. Г. Цегелик
З використання апарату некласичних мінорант Ньютона та їхніх діаграм функцій двох дійсних змінних, заданих таблично, побудовано новий числовий метод відшукання екстремуму як гладких, так і негладких логарифмічно опуклих функцій двох дійсних змінних.
{"title":"Модифікований чисельний метод мажорантного типу відшукання екстремуму довільних логарифмічно вгнутих функцій двох дійсних змінних","authors":"Мирослава Іванівна Глебена, Г. Г. Цегелик","doi":"10.24144/2616-7700.2019.2(35).105-111","DOIUrl":"https://doi.org/10.24144/2616-7700.2019.2(35).105-111","url":null,"abstract":"З використання апарату некласичних мінорант Ньютона та їхніх діаграм функцій двох дійсних змінних, заданих таблично, побудовано новий числовий метод відшукання екстремуму як гладких, так і негладких логарифмічно опуклих функцій двох дійсних змінних.","PeriodicalId":33567,"journal":{"name":"Naukovii visnik Uzhgorods''kogo universitetu Seriia Matematika i informatika","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2011-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69124786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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