Non-Oscillating solutions of a generalized system of ODEs with derivative terms-Reference-Cited by-同舟云学术

Non-Oscillating solutions of a generalized system of ODEs with derivative terms

Published:2021-01-01 Issue:1 Volume:8 Page:239-250
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Bharadwaj B V K¹,Baruah Pallav Kumar¹

Affiliation:

1. Department of Mathematics and Computer Science , Sri Sathya Sai Institute of Higher Learning , Prasanthi Nilayam , India

Abstract

Abstract We consider a system of ODEs of mixed order with derivative terms appearing in the non-linear function and show the existence of a solution which does not oscillate for such system. We applied the fixed point technique to show that under certain conditions there exists at least one solution to the system which is not only non-oscillating, but also asymptotically constant.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2020-0136/pdf

Reference14 articles.

1. [1] R Ma, Existence of positive radial solutions for elliptic systems, J.Math.Anal.App. 201(1996), 375-386.

2. [2] B V K Bharadwaj and Pallav Kumar Baruah, Asymptotically Polynomial type solutions for some 2-dimensional coupled nonlinear ODEs, The Journal of Mathematics and Computer Science, Vol 14(2015), no 3, 211-221.

3. [3] B V K Bharadwaj and Pallav Kumar Baruah, Existence of a Non-Oscillating solution for a second order nonlinear ODE, Communications in Mathematics and Applications, Vol.6, No 2, 41-47.

4. [4] B.V.K. Bharadwaj and Pallav Kumar Baruah, Existence of a Non-Oscillating solution for a System of Nonlinear ODEs, International Journal of Advances in Mathematics, Volume 2018, Number 4, Pages 34-43, 2018.

5. [5] B.V.K. Bharadwaj and Pallav Kumar Baruah, Asymptotically polynomial type solutions for 2-dimensional coupled non-linear ODEs with derivative terms, accepted for publication in International Journal of Dynamical Systems and Differential Equationsm Inderscience Publishers.