Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces

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.