Syllabi of Capita Selecta of Analysis Semester II 2017/2018 by Umi Mahnuna Hanung, M.Si.

Subject: Kapita Selekta Matematika Analisis (MMM-4149)
Topic: Kurzweil-Stieltjes Integral and Its Applications

Supporting lecturer: Umi Mahnuna Hanung, M.Si.

Syllabus:
1. Step functions
2. Functions of bounded variation
3. Semivariation
4. Regulated functions
5. Simply regulated functions
6. Henstock-Kurzweil-Stieltjes integral
7. Generalized linear differential equations
8. Homogeneous linear integral equations
9. Basic concepts in time scales
10. Applications to dynamic equations on times scales

References:
1. M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications. Birkhauser, Boston, 2001.
2. D. Frankova, Regulated functions, Math. Bohem. 116 (1), 1991, 20-59.
3. G. A. Monteiro, A. Slavík, and M. Tvrdý,  Kurzweil–Stieltjes Integral: Theory and Applications. World Scientific, Singapore, 2017.