Green's Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument

Duygu Aruğaslan; Nur Cengiz

doi:10.19113/sdufbed.67047

Green's Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument

Öz

In this paper, damped spring-mass systems with generalized piecewise constant argument and with functional dependence on generalized piecewise constant argument are considered. These spring-mass systems have piecewise constant forces of the forms $Ax(\gamma(t))$ and $Ax(\gamma(t))+h(t,x_{t},x_{\gamma(t)})$, respectively. These spring-mass systems are examined without reducing them into discrete equations. While doing this examination, we make use of the results which have been obtained for differential equations with functional dependence on generalized piecewise constant argument in \cite{2}. Sufficient conditions for the existence and uniqueness of solutions of the spring-mass system with functional dependence on generalized piecewise constant argument are given. The periodic solution of the spring-mass system which has functional force is created with the help of the Green's function, and its uniqueness is proved. The obtained theoretical results are illustrated by an example. This illustration shows that the damped spring-mass systems with functional dependence on generalized piecewise constant argument with proper parameters has a unique periodic solution which can be expressed by Green's function.

Anahtar Kelimeler

Differential equations with functional dependence on piecewise constant argument of generalized type,Periodic solutions; Green's function; Spring-Mass system

Kaynakça

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Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Duygu Aruğaslan

Nur Cengiz

Yayımlanma Tarihi

29 Mart 2017

Gönderilme Tarihi

9 Eylül 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 21 Sayı: 1

DOI

https://doi.org/10.19113/sdufbed.67047

IZ

https://izlik.org/JA99CN77ZR

Kaynak Göster

RIS / Bibtex

APA

Aruğaslan, D., & Cengiz, N. (2017). Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(1), 266-278. https://doi.org/10.19113/sdufbed.67047

AMA

1.Aruğaslan D, Cengiz N. Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21(1):266-278. doi:10.19113/sdufbed.67047

Chicago

Aruğaslan, Duygu, ve Nur Cengiz. 2017. “Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (1): 266-78. https://doi.org/10.19113/sdufbed.67047.

EndNote

Aruğaslan D, Cengiz N (01 Nisan 2017) Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 1 266–278.

IEEE

[1]D. Aruğaslan ve N. Cengiz, “Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 21, sy 1, ss. 266–278, Nis. 2017, doi: 10.19113/sdufbed.67047.

ISNAD

Aruğaslan, Duygu - Cengiz, Nur. “Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21/1 (01 Nisan 2017): 266-278. https://doi.org/10.19113/sdufbed.67047.

JAMA

1.Aruğaslan D, Cengiz N. Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21:266–278.

MLA

Aruğaslan, Duygu, ve Nur Cengiz. “Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 21, sy 1, Nisan 2017, ss. 266-78, doi:10.19113/sdufbed.67047.

Vancouver

1.Duygu Aruğaslan, Nur Cengiz. Green’s Function and Periodic Solutions of a Spring-Mass System in which the Forces are Functionally Dependent on Piecewise Constant Argument. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Nisan 2017;21(1):266-78. doi:10.19113/sdufbed.67047

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