Browsing by Author "Klyus, Iryna"

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An alternative solution to the first boundary value problem for a differential equation of hyperbolic type
(National Aviation University, 2023-04) Klyus, Iryna; Oliynyk, Оleg; Клюс, Ірина Степанівна; Олійник, Олег Петрович
The construction of an approximate solution of the first boundary value problem for a hyperbolic type of differential equation using trigonometric splines is described. The expression of the approximate solution in trigonometric splines is proposed as an alternative solution, the minimization of the discrepancy is carried out by the method of collocations.
Educational and methodical complex on Higher and Applied Mathematics (specialty 073 "Management")
(National Avation University, 2021) Klyus, Iryna; Клюс, Ірина Степанівна
The educational and methodological complex is a set of normative and educational and methodological materials in paper and electronic forms, necessary and sufficient for the effective implementation by students of the course training program of the educational discipline provided for in the curriculum of the training of students of the corresponding educational degree "Bachelor" in the specialty 073 "Management".This subject is considered as a theoretical and practical basis of knowledge and skills that form the expert’s profile in the field of management and administration.
Educational and methodical complex on Higher Mathematics
(National Aviation University, 2021) Klyus, Iryna; Клюс, Ірина Степанівна
Training course is the theoretical basis of knowledge and skills required to master the vast majority of disciplines of professional and practical training in the field of economics. The educational and methodological complex is a set of normative and educational and methodological materials in paper and electronic forms, necessary and sufficient for the effective implementation by students of the course training program of the educational discipline provided for in the curriculum of the training of students of the corresponding educational degree "Bachelor" in the specialty 275 " «Air Transport Technologies».
Educational and methodical complex on Higher Mathematics
(National avation university, 2021) Klyus, Iryna; Клюс, Ірина Степанівна
This training course is the theoretical basis of knowledge and skills required to master the vast majority of disciplines of professional and practical training in the field of economics.
On applcations of measure of noncompactness in Frechet spaces
(National Aviation University, 2019) Klyus, Iryna; Eftekharinasab, Kaveh; Клюс, Ірина Степанівна; Ефтехарінасаб, Кавех
In metric and topological vector spaces the notion of measure of noncompactness is used to associate numerical values to sets so that compact sets get zero measures and other ones obtain positive values that indicate how far they are different from compact sets. This concept was initiated by Kuratowski in the early 30s and has been defined and developed in many different ways. The indices of noncompactness can give us sufficient conditions for formulating various fixed point theorems in metric spaces. Another important application of these measurements is in the characterization of Fredholm operators in infinite-dimensional topological vector spaces. The object of this paper is to provide an appropriate criterion that establishes a connection between Lipschitz-Fredholm operators in the more general context of Fréchet spaces, the Hausdorff, and lower measures of noncompactness. Furthermore, by using an arbitrary measure of noncompactness in the sense of Banas and Goebel we obtain a fixed point theorem for Fréchet spaces.
Математичне моделювання розповсюдження епідемій за допомогою моделей SIR та SEIR
(Національний авіаційний університет, 2023-04) Олійник, Олег Петрович; Клюс, Ірина Степанівна; Олійник, Світлана Володимирівна; Oliynyk, Оleg; Klyus, Iryna; Oliynyk, Svitlana
Описано математичні моделі SIR, SEIR та їх застосування для прогнозування поширення епідемій на прикладі COVID-19. Відмічено найвагоміші чинники, які впливають на цей процес та описано відповідні параметри цих моделей. Наведено порівняльну ілюстрацію застосування цих моделей. Виділено деякі методи для оцінки параметрів моделей класу SEIR.