eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2018-03-01
7
1
1
12
10.22103/jmmrc.2018.11248.1052
1952
Nonlinear oscillation of certain third-order neutral differential equation with distributed delay
Sathish Kumar Marappan
msksjv@gmail.com
1
Ganesan V
ganesan_vgp@rediffmail.com
2
Janaki S
janakisms@gmail.com
3
Osama Moaaz
o_moaaz@mans.edu.eg
4
Paavai Engineering College (Autonomous) Paavai Institutions, Paavai Nagar, NH-7, Pachal -637 018. Namakkal Dist. Tamilnadu, India.
Department of Mathematics, Aringar Anna Government Arts College, Namakkal-637002, Tamilnadu, India.
Deputy Directorate of statistics, Government of Tamil Nadu, Namakkal-637003, Tamil Nadu, India.
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt.
The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicability of these results.
http://jmmrc.uk.ac.ir/article_1952_fdc230aad0e65c21c4a52d14c10d29ff.pdf
Nonlinear
Oscillation
Distributed delay
Neutral differential equation
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2018-03-01
7
1
13
24
10.22103/jmmrc.2018.10747.1045
2055
Some results on convergence and existence of best proximity points
Marzieh Ahmadi Baseri
m.ahmadi@stu.yazd.ac.ir
1
H. Mazaheri
hmazaheri@yazd.ac.ir
2
T. D Narang
tdnarang1948@yahoo.co.in
3
Yazd University
Yazd University
Guru Nanak Dev University
In this paper, we introduce generalized cyclic φ-contraction maps in metric spaces and give some results of best proximity points of such mappings in the setting of a uniformly convex Banach space. Moreover, we obtain convergence and existence results of proximity points of the mappings on reflexive Banach spaces
http://jmmrc.uk.ac.ir/article_2055_6bcf15495105392fcbe4e154e8350936.pdf
Best proximity point
Generalized cyclic φ-contraction map.Best proximity point
Proximal property
Generalized cyclic φ-contraction map