Paper's Title:

Existence and Approximation of Traveling Wavefronts for the Diffusive Mackey-Glass Equation

Author(s):

C. Ramirez-Carrasco and J. Molina-Garay

Facultad de Ciencias Basicas,
Universidad Catolica del Maule, Talca,
Chile
E-mail: carloshrc1989@gmail.com
 molina@imca.edu.pe

Abstract:

In this paper, we consider the diffusive Mackey-Glass model with discrete delay. This equation describes the dynamics of the blood cell production. We investigate the existence of traveling wavefronts solutions connecting the two steady states of the model. We develop an alternative proof of the existence of such solutions and we also demonstrate the existence of traveling wavefronts moving at minimum speed. The proposed approach is based on the use technique of upper-lower solutions. Finally, through an iterative procedure, we show numerical simulations that approximate the traveling wavefronts, thus confirming our theoretical results.

Paper's Title:

Differential Equations for Indicatrices, Spacelike and Timelike Curves

Author(s):

Sameer, Pradeep Kumar Pandey

Department of Mathematics,
Jaypee University of Information Technology,
Solan, Himachal Pradesh,
India.
E-mail: sksameer08@gmail.com, pandeypkdelhi@gmail.com 

Abstract:

Motivated by the recent work of Deshmukh et al. [20], in this paper we show that Tangent, Binormal, and Principal Normal indicatrices do not form non-trivial differential equations. Finally, we obtain the 4th-order differential equations for spacelike and timelike curves.

Paper's Title:

Corrigendum for Differential Equations for Indicatrices, Spacelike and Timelike Curves

Author(s):

Sameer, Pradeep Kumar Pandey

Department of Mathematics,
Jaypee University of Information Technology,
Solan, Himachal Pradesh,
India.
E-mail: sksameer08@gmail.com, pandeypkdelhi@gmail.com 

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Abstract:

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