Investigation of one periodic problem methods of the theory of functional differential equations

I. Nikishina; E. Volkovich

doi:10.12737/6761

INVESTIGATION OF ONE PERIODIC PROBLEM METHODS OF THE THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS Investigation of one periodic problem methods of the theory of functional differential equations

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 5, p. 2 · Pages 97–100 · Rubric: Sekciya: «Effektivnye metody i instrumenty issledovaniya modeley sistem i mehanizmov»

DOI: https://doi.org/10.12737/6761

Received: 02.12.2014 Accepted: 02.12.2014 Published: 02.12.2014 Language of publication: RUS

Authors

I. Nikishina

E. Volkovich

I. Nikishina

E. Volkovich

ABSTRACT

Boundary value problem for a nonlinear functional differential equations of the first order are considered in this article. The sufficient conditions of solvability this problem are given. The results are used for investigation of the periodic problem of economic dynamics.

KEYWORDS

functional differential equation, boundary value problem, solvability, mathematical model.

Text

УДК: 517.929, 517.93/.935

исследование одной периодической задачи

Методами теории функционально-дифференциальных уравнений

INVESTIGATION OF ONE PERIODIC PROBLEM

METHODS OF THE THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS

Никишина И.А.

Волкович Е.Ю.

ФГБОУ ВПО «Братский государственный университет»

г. Братск, Россия

ipa_Q@mail.ru, volkovichey@gmail.com

DOI: 10.12737/6761

Аннотация: Рассматривается краевая задача для нелинейного функционально-дифференциального уравнения первого порядка. Приводятся достаточные условия разрешимости этой задачи. Результаты применяются для исследования одной периодической задачи экономической динамики.

Summary:Boundary value problem for a nonlinear functional differential equations of the first order are considered in this article. The sufficient conditions of solvability this problem are given. The results are used for investigation of the periodic problem of economic dynamics.

Ключевые слова: функционально-дифференциальное уравнение, краевая задача, разрешимость, математическая модель.

Keywords: functional differential equation, boundary value problem, solvability, mathematical model.

1. Larionov A.S., Nikishina I.A. Razreshimost´ nelineynogo differentsial´nogo uravneniya pervogo poryadka s posledeystviem i ego prilozheniya. Sistemy Metody Tekhnologii. №3(19). 2013. S. 100-105.

2. Azbelev N.V., Maksimov V.P., Rakhmatullina L.F. Vvedenie v teoriyu funktsional´no-differentsial´nykh uravneniy. M.: Nauka, 1991. 361 s.

3. Maksimov V.P. Voprosy obshchey teorii funktsional´no-differentsial´nykh uravneniy. Izbrannye trudy. Perm´: Izd-vo PGU, PSI, PSSGK, 2003. 306 s.

4. Volkovich E.Yu. Metod parallel´nykh vychisleniy dlya resheniya funktsional´no-differentsial´nykh uravneniy. Trudy bratskogo gosudarstvennogo universiteta: Ser.: Estestvennye i inzhenernye nauki - razvitiyu regionov Sibiri: v 2 t. Bratsk: BrGU, 2010. T. 1. 202 s.

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Igor Shanin

kingoao@mail.ru

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GOST

Nikishina I., Volkovich E. Investigation of one periodic problem methods of the theory of functional differential equations // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 5. pp. 97-100. DOI: https://doi.org/10.12737/6761. (Date of access 20.10.2026).

MLA

I. Nikishina, Volkovich E.. "Investigation of one periodic problem methods of the theory of functional differential equations." Actual directions of scientific researches of the XXI century: theory and practice 2.5 (2014): 97-100. DOI: https://doi.org/10.12737/6761.

APA

Nikishina I., Volkovich E. (2014). Investigation of one periodic problem methods of the theory of functional differential equations. Actual directions of scientific researches of the XXI century: theory and practice, 2(5), 97-100. https://doi.org/10.12737/6761

Chicago

I. Nikishina, Volkovich E.. "Investigation of one periodic problem methods of the theory of functional differential equations." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 5 (2014): 97-100. https://doi.org/10.12737/6761.

WIKI

{{cite journal | author = Nikishina I., Volkovich E. | title = Investigation of one periodic problem methods of the theory of functional differential equations | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 5 | pages = 97-100 | doi = 10.12737/6761 }}

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INVESTIGATION OF ONE PERIODIC PROBLEM METHODS OF THE THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS Investigation of one periodic problem methods of the theory of functional differential equations

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