Advances in Difference Equations

Advances in Difference Equations is a peer-reviewed open access journal .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 12 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. Articles published in Advances in Difference Equations will include such situations.The aim of Advances in Difference Equations is to report new developments in the field of difference equations, and their applications in all fields. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.

《差分方程的进展》是一本同行评议的开放获取期刊。差分方程理论、方法及其广泛的应用已经超越了青少年时期，在应用分析中占据了中心地位。事实上，在过去的12年里，数百篇研究论文、几部专著、许多国际会议和许多特别会议都见证了这一主题的扩散。微分方程和差分方程理论构成了现实问题的两种极端表示形式。例如，当一个简单的总体模型被表示为微分方程时，它表现出良好的解的行为，而相应的离散模拟则表现出混沌行为。人口的实际行为介于两者之间。发表在《差分方程进展》上的文章将包括这种情况。差分方程研究进展的目的是报道差分方程领域的新进展及其在各个领域的应用。差分方程的进展将接受高质量的文章，其中包含原始研究结果和具有特殊价值的调查文章。