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

1. Auflage 2026
ISBN: 978-1-041-35398-0
Verlag: Taylor & Francis Ltd

Buch, Englisch, 508 Seiten, Format (B × H): 178 mm x 254 mm

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.

Zielgruppe

Postgraduate

Autoren/Hrsg.

Kostic, Marko

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

1. Preliminaries. 2. Generalized almost periodic functions in locally convex spaces and applications. 3. Abstract fractional difference inclusions in locally convex spaces. 4. Abstract Volterra integro-differential inclusions on the real line neutral stochastic impulsive equations with fractional Brownian motion. 5. Weight sequence systems, abstract Cauchy problems and applications. 6. Multidimensional vector-valued Laplace transform. 7. Multidimensional (a, k)-regularized C-resolvent solution operator families and multidimensional generalized Laplace fractional derivatives. 8. Abstract Volterra integro-differential inclusions with multiple variables. 9. Higher-dimensional linear topological dynamics.

Über Autor(innen)

Marko Kostic was born on January 8, 1977 in Loznica, Serbia. He moved 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 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.