Advances in Difference Equations Q1区

期刊简介

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.

差分方程的理论、所使用的方法及其广泛的应用已经超越了它们的青少年阶段，在应用分析中占据了中心地位。事实上，在过去的15年里，这一主题的扩散已经见证了数百篇研究文章，几本专著，许多国际会议和无数的特别会议。微分和差分方程理论形成了真实的世界问题的两种极端表现形式。例如，一个简单的种群模型在表示为微分方程时表现出解的良好行为，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。差分方程进展的目的主要是报告差分方程领域的新发展，及其在所有领域的应用。我们也会考虑强调常微分方程、偏微分方程、时滞微分方程、分数阶微分方程、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的定性行为的研究论文。差分方程进展将接受包含原创研究成果的高质量论文和具有特殊价值的综述性论文。

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