Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces
暫譯: 局部凸空間中的殆週期函數與積分–微分–差分方程式
Kostic, Marko
相關主題
商品描述
Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces provides a concise yet thorough exploration of almost periodic functions in locally convex spaces and their applications. The book examines abstract Volterra integro-differential-difference inclusions, the multidimensional vector-valued Laplace transform, and the dynamical properties of multiparameter solution operator families in Fréchet spaces. It also delves into fractional calculus, discrete fractional calculus, and fractional differential-difference equations, along with abstract partial fractional differential inclusions in locally convex spaces.
Key Features:
- Accessible Content: Designed for readers familiar with modern functional analysis, almost periodic functions, and linear topological dynamics, ensuring broad accessibility.
- In-Depth Theory: Offers expanded discussions on theoretical approaches, balancing intuitive and formal aspects.
- Innovative Focus: Among the first monographs to address generalized almost periodic functions in locally convex spaces, multidimensional Laplace transforms, and multidimensional linear dynamics.
Ideal for PhD students, postdoctoral researchers, and mathematicians seeking advanced techniques and deeper insights into almost periodic functions and abstract Volterra integro-differential inclusions.
商品描述(中文翻譯)
《局部凸空間中的幾乎週期函數與積分－微分－差分方程》簡明而全面地探討局部凸空間中的幾乎週期函數（almost periodic functions）及其應用。本書研究抽象 Volterra 積分－微分－差分包含（integro-differential-difference inclusions）、多維向量值拉普拉斯轉換（multidimensional vector-valued Laplace transform），以及 Fréchet 空間中多參數解算子族（multiparameter solution operator families）的動力學性質。本書也深入介紹分數階微積分（fractional calculus）、離散分數階微積分（discrete fractional calculus）與分數階微分－差分方程（fractional differential-difference equations），以及局部凸空間中的抽象偏分數階微分包含（abstract partial fractional differential inclusions）。
主要特色：
• 易於理解的內容：本書以熟悉現代泛函分析、幾乎週期函數與線性拓撲動力學的讀者為對象，兼顧廣泛的可讀性。
• 深入的理論探討：擴充理論方法的說明，在直觀理解與形式化論述之間取得平衡。
• 創新的研究焦點：本書是較早探討局部凸空間中的廣義幾乎週期函數、多維拉普拉斯轉換，以及多維線性動力學的專著之一。
本書適合博士生、博士後研究人員，以及希望掌握幾乎週期函數與抽象 Volterra 積分－微分包含之進階技術並深入理解相關概念的數學家閱讀。
作者簡介
Marko Kostic was born on January 8, 1977, in Loznica, Serbia. Moving to Novi Sad in the mid-90s, where he earned his Bachelor of Science from the Faculty of Science. After three years of hard work and dedication, he obtained his PhD degree in Mathematics.
Marko Kostic is currently employed at the Faculty of Technical Sciences in Novi Sad. He is an acclaimed author of ten research monographs and almost three hundred research articles in the field of functional analysis and its applications.
作者簡介(中文翻譯)
Marko Kostic 於 1977 年 1 月 8 日出生於塞爾維亞的 Loznica。90 年代中期，他搬到 Novi Sad，並於 Faculty of Science 取得理學士學位。經過三年的努力與投入後，他取得數學博士學位。
Marko Kostic 目前任職於 Novi Sad 的 Faculty of Technical Sciences。他是廣受肯定的作者，著有 10 部研究專著，以及近 300 篇關於泛函分析及其應用領域的研究論文。
