Asymptotic behaviours of the solutions of neutral type Volterra integro-differential equations and some numerical solutions via differential transform method

Yener ALTUN

doi:https://doi.org/10.51354/mjen.878066

Makale detayları

Asymptotic behaviours of the solutions of neutral type Volterra integro-differential equations and some numerical solutions via differential transform method

Yazarlar:

Yener ALTUN

Yayıncı:

Kyrgyz-Turkish Manas University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

MANAS Journal of Engineering 2021 Vol.9 Issue Special 1, pp.49-57

Belge Tipi:

Makale

Yayın Tarihi:

4/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000527856

Sıklık:

İki Yıllık

eISSN:

1694-7398

pISSN:

1694-7398

DOI:

https://doi.org/10.51354/mjen.878066

Özet:

 

 In this manuscript, we consider the first order neutral Volterra integro-differential equation (NVIDE) with delay argument. Firstly, we obtain novel sufficient conditions to establish the asymptotic behaviours of solutions of considered NVIDE using the Lyapunov method and present an example to demonstrate the applicability of proposed method. Secondly, we get some numerical solutions for a particular case of considered NVIDE via the differential transformation method (DTM). The results of this manuscript are novel and they improve some existing ones in the literature.

Makale detayları

Asymptotic behaviours of the solutions of neutral type Volterra integro-differential equations and some numerical solutions via differential transform method

Yazarlar: Yener ALTUN

Yayıncı: Kyrgyz-Turkish Manas University

Ana Başlıklar: Uygulamalı fizik

Dergi: MANAS Journal of Engineering 2021 Vol.9 Issue Special 1, pp.49-57

Belge Tipi: Makale

Yayın Tarihi: 4/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000527856

Sıklık: İki Yıllık

eISSN: 1694-7398

pISSN: 1694-7398

DOI: https://doi.org/10.51354/mjen.878066

Sayı

Yazarlar:

Yener ALTUN

Yayıncı:

Kyrgyz-Turkish Manas University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

MANAS Journal of Engineering 2021 Vol.9 Issue Special 1, pp.49-57

Belge Tipi:

Makale

Yayın Tarihi:

4/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000527856

Sıklık:

İki Yıllık

eISSN:

1694-7398

pISSN:

1694-7398

DOI:

https://doi.org/10.51354/mjen.878066