Recent Progress in Differential and Difference Equations (2014)
Advances in Difference Equations
Edited by: Dr Dorota Mozyrska, Prof Yuriy Rogovchenko, Prof Ewa Schmeidel, Prof Miroslava Ruzickova, Prof. Josef Diblik, Dr Ewa Girejko
Collection published: 18 June 2015
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Call for Papers: Topics in Special Functions and q-Special Functions: Theory, Methods, and Applications
This special issue focuses on the applications of the special functions and polynomials to various areas of mathematics. Thorough knowledge of special functions is required in modern engineering and physical science applications. These functions typically arise in such applications as communications systems, statistical probability distribution, electro-optics, nonlinear wave propagation, electromagnetic theory, potential theory, electric circuit theory, and quantum mechanics.
To study the finite-time control of plasma glucose for diabetic patients with impulsive injections of insulin, Lui Huang, Song, and Shi propose an impulsive differential equation model with initial and boundary conditions. The goal of glucose control is supposed to be achieved if the system has a solution, otherwise the goal cannot be achieved. By constructing two comparison systems and using a comparison principle, several conditions under which the system has a solution are obtained...
Aims and scope
The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions.
The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between.
The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations.
Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.
Open Thematic Series
Submissions to thematic series on this journal are entitled to a 25% discount on the article processing charges unless otherwise stated. To receive this discount, authors should mention the thematic series within the "waiver request" box on the 'Payment' screen during submission of their manuscript.
Topics in Special Functions and q-Special Functions: Theory, Methods, and Applications
Deadline for submission: 8 October 2020
Annual Journal Metrics
82 days to first decision for reviewed manuscripts only
58 days to first decision for all manuscripts
127 days from submission to acceptance
20 days from acceptance to publication
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04 September 2019
13 August 2019
- ISSN: 1687-1847 (electronic)