Combined Measure and Shift Invariance Theory of Time Scales and Applications

Chao Wang is a Professor and PhD in Mathematics at Yunnan University in China. Dr. Wang has authored the book "Theory of Translation Closedness for Time Scales" (978-3-030-38643-6), published by Springer. His research focuses on the fields of nonlinear dynamic systems, control theory, fuzzy dynamic equations, fractional differential equations, bifurcation theory, nonlinear analysis, and numerical modeling.Ravi P. Agarwal is a Professor at the Texas A&M University-Kingsville, USA.  He completed his PhD at the Indian Institute of Technology, Madras, India, in 1973. Dr.  Agarwal has published 1700 research articles in several different fields and authored or co-authored 50 books, including "Theory of Translation Closedness for Time Scales" (978-3-030-38643-6), published by Springer.

“The monograph is interesting and helpful for experts in the area of time scales. As an introduction to time scales and to the resulting field of dynamic equations … the original contribution due to Hilger or the textbook Dynamic equations on time scales are still strongly recommended.” (Christian Pötzsche, Mathematical Reviews, November, 2023)

• Riemann Integration, Stochastic Calculus and Shift Operators on Time Scales.- ♢α-Measurability and Combined Measure Theory on Time Scales .- Shift Invariance and Matched Spaces of Time Scales.- Almost Periodic Functions under Matched Spaces of Time Scales.- Almost Automorphic Functions under Matched Spaces of Time Scales.- C0-Semigroup and Stepanov-like Almost Automorphic Functions on Hybrid Time Scales.- Almost Periodic Dynamic Equations under Matched Spaces.- Almost Automorphic Dynamic Equations under Matched Spaces.- Applications on Dynamics Models under Matched Spaces.