2018-08-21T08:50:25Z
http://jmmrc.uk.ac.ir/?_action=export&rf=summon&issue=319
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2018
7
1
Nonlinear oscillation of certain third-order neutral differential equation with distributed delay
Sathish Kumar
Marappan
Ganesan
V
Janaki
S
Osama
Moaaz
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.
Nonlinear
Oscillation
Distributed delay
Neutral differential equation
2018
03
01
1
12
http://jmmrc.uk.ac.ir/article_1952_fdc230aad0e65c21c4a52d14c10d29ff.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2018
7
1
Some results on convergence and existence of best proximity points
Marzieh
Ahmadi Baseri
H.
Mazaheri
T. D
Narang
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
Best proximity point
Generalized cyclic φ-contraction map.Best proximity point
Proximal property
Generalized cyclic φ-contraction map
2018
03
01
13
24
http://jmmrc.uk.ac.ir/article_2055_6bcf15495105392fcbe4e154e8350936.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2018
7
1
A TAXICAB VERSION OF A TRIANGLE' S APOLLONIUS CIRCLE
Temel
ERMİŞ
Ozcan
Gelişgen
Aybuke
Ekici
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.
Taxicab distance
Distance Functions
Taxicab geometry
Apollonius circle
2018
07
23
25
36
http://jmmrc.uk.ac.ir/article_2073_c7f14ca1b6a6c894e370b7160e394b3a.pdf