1st Edition

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

By Marko Kostić Copyright 2027
508 Pages
by Chapman & Hall

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... Read more

1. Preliminaries

PART I. GENERALIZED ALMOST PERIODIC FUNCTIONS WITH VALUES IN LOCALLY CONVEX SPACES

2. Generalized almost periodic functions in locally convex spaces and applications

PART II. ABSTRACT VOLTERRA INTEGRO-DIFFERENTIAL-DIFFERENCE INCLUSIONS IN LOCALLY CONVEX SPACES

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

PART III. MULTIDIMENSIONAL VECTOR-VALUED LAPLACE TRANSFORM AND ITS 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

Biography

Marko Kostić 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 Kostić 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.