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
2018-10-21T11:23:20
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
2018-10-21T11:23:20
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
ORIGINAL_ARTICLE
A TAXICAB VERSION OF A TRIANGLE' S APOLLONIUS CIRCLE
One of the most famous problems of classical geometry is the Apollonius' problem asks construction of a circle which is tangent to three given objects. These objects are usually taken as points, lines, and circles. This well known problem was posed by Apollonius of Perga ( about 262 - 190 B.C.) who was a Greek mathematician known as the great geometer of ancient times after Euclid and Archimedes. The Apollonius' problem can be reduced specically to the question \Is there the circle that touches all three excircles of given triangle and encompasses them? " when all three objects are circles. In literature, altough there are a lot of works on the solution of this question in the Euclidean plane, there is not the work on this question in different metric geometries. In this paper, we give that the conditions of existence of Apollonius taxicab circle for any triangle.
http://jmmrc.uk.ac.ir/article_2073_c7f14ca1b6a6c894e370b7160e394b3a.pdf
2018-07-23T11:23:20
2018-10-21T11:23:20
25
36
10.22103/jmmrc.2018.2073
Taxicab distance
Distance Functions
Taxicab geometry
Apollonius circle
Temel
ERMİŞ
termis@ogu.edu.tr
true
1
Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
LEAD_AUTHOR
Ozcan
Gelişgen
gelisgen@ogu.edu.tr
true
2
Deparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
Deparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
Deparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
AUTHOR
Aybuke
Ekici
aybkekici@gmail.com
true
3
Deparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
Deparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
Deparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY
AUTHOR