ORIGINAL_ARTICLE
Nonlinear oscillation of certain third-order neutral differential equation with distributed delay
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
2018-03-01T11:23:20
2018-06-23T11:23:20
1
12
10.22103/jmmrc.2018.11248.1052
Nonlinear
Oscillation
Distributed delay
Neutral differential equation
Sathish Kumar
Marappan
msksjv@gmail.com
true
1
Paavai Engineering College (Autonomous)
Paavai Institutions,
Paavai Nagar, NH-7,
Pachal -637 018.
Namakkal Dist. Tamilnadu,
India.
Paavai Engineering College (Autonomous)
Paavai Institutions,
Paavai Nagar, NH-7,
Pachal -637 018.
Namakkal Dist. Tamilnadu,
India.
Paavai Engineering College (Autonomous)
Paavai Institutions,
Paavai Nagar, NH-7,
Pachal -637 018.
Namakkal Dist. Tamilnadu,
India.
AUTHOR
Ganesan
V
ganesan_vgp@rediffmail.com
true
2
Department of Mathematics,
Aringar Anna Government Arts College, Namakkal-637002,
Tamilnadu, India.
Department of Mathematics,
Aringar Anna Government Arts College, Namakkal-637002,
Tamilnadu, India.
Department of Mathematics,
Aringar Anna Government Arts College, Namakkal-637002,
Tamilnadu, India.
LEAD_AUTHOR
Janaki
S
janakisms@gmail.com
true
3
Deputy Directorate of statistics,
Government of Tamil Nadu,
Namakkal-637003, Tamil Nadu, India.
Deputy Directorate of statistics,
Government of Tamil Nadu,
Namakkal-637003, Tamil Nadu, India.
Deputy Directorate of statistics,
Government of Tamil Nadu,
Namakkal-637003, Tamil Nadu, India.
AUTHOR
Osama
Moaaz
o_moaaz@mans.edu.eg
true
4
Department of Mathematics,
Faculty of Science,
Mansoura University,
Mansoura, 35516, Egypt.
Department of Mathematics,
Faculty of Science,
Mansoura University,
Mansoura, 35516, Egypt.
Department of Mathematics,
Faculty of Science,
Mansoura University,
Mansoura, 35516, Egypt.
AUTHOR
ORIGINAL_ARTICLE
Some results on convergence and existence of best proximity points
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
2018-03-01T11:23:20
2018-06-23T11:23:20
13
24
10.22103/jmmrc.2018.10747.1045
Best proximity point
Generalized cyclic φ-contraction map.Best proximity point
Proximal property
Generalized cyclic φ-contraction map
Marzieh
Ahmadi Baseri
m.ahmadi@stu.yazd.ac.ir
true
1
Yazd University
Yazd University
Yazd University
LEAD_AUTHOR
H.
Mazaheri
hmazaheri@yazd.ac.ir
true
2
Yazd University
Yazd University
Yazd University
AUTHOR
T. D
Narang
tdnarang1948@yahoo.co.in
true
3
Guru Nanak Dev University
Guru Nanak Dev University
Guru Nanak Dev University
AUTHOR