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.

差分方程理论、所用方法及其广泛应用已超越其青春期阶段，在应用分析中占据核心地位。事实上，在过去 15 年中，数百篇研究论文、几本专著、许多国际会议和众多特别会议见证了该主题的蓬勃发展。

微分和差分方程理论形成了现实世界问题的两种极端表示。例如，当用微分方程表示时，简单的人口模型显示出解的良好行为，而相应的离散模拟则显示出混沌行为。人口的实际行为介于两者之间。

《差分方程进展》的目的主要是报道差分方程领域的新发展及其在所有领域的应用。我们还将考虑强调常微分方程、偏微分方程、延迟微分方程、分数微分方程、抽象微分方程、随机微分方程、模糊微分方程和集值微分方程解的定性行为的研究文章。

《差分方程进展》将接受包含原创研究成果的高质量文章和具有卓越价值的综述文章。

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