International Journal of Advances in Mathematics
International Journal of Advances in Mathematics
2456-6098
Volume 2018
Number 4
2018
July
02
Existence of a Non-Oscillating solution for a System of Nonlinear ODEs
34
43
EN
B.V.K.
Bharadwaj
Department of Mathematics and Computer Science\\
Sri Sathya Sai Institute of Higher Learning\\ Prasanthinilayam ,515134, INDIA.
bvkbharadwaj@sssihl.edu.in
Pallav Kumar
Baruah
Department of Mathematics and Computer Science\\
Sri Sathya Sai Institute of Higher Learning\\ Prasanthinilayam, 515134, INDIA.
bvkbharadwaj@sssihl.edu.in
In this paper we have considered a systems of ODEs of second order and have shown the existence of a non oscillating solution for such system. We have applied the fixed point technique to show that under certian conditions there exists at least one solution to the system which is not only non-oscillating, but also asymptotically constant.
Nonlinear Coupled Ordinary Differential Equations, Fixed-point Theorem, Non-Oscillation.
http://adv-math.com/existence-non-oscillating-solution-system-nonlinear-odes/
http://adv-math.com/wp-content/uploads/2018/07/non-osc-theorem-for-2nd-order-system-of-ODEs-paper.pdf