References
- P.C. Das & R.R. Sharma: Some Stieltjes integral inequalities. J. Math. Anal. Appl. 73 (1980), 423-433. https://doi.org/10.1016/0022-247X(80)90288-7
- X.F. Ding & G.J. Ye: Generalized Gronwall-Bellman inequalities using the Henstock-Kurzweil integral. Southeast Asian Bull. Math. 33 (2009), 703-713.
- D. Frankova: Regulated functions. Math. Bohem. 116 (1991), 20-59
- I. Gyori: A generalization of Bellman's inequality for Stieltjes integrals and a uniqueness theorem. Studia Sci. Math. Hunger. 6 (1971), 137-145.
- C.S. Honig: Volterra Stieltjes-integral equations. North Holand and American Elsevier, Mathematics Studies 16, Amsterdam and New York, 1973.
- P. Krejci & J. Kurzweil: A nonexistence result for the Kurzweil integral. Math. Bohem. 127 (2002), 571-580.
- A.G. Mingarelli: Volterra-Stieltjes integral equations and generalized ordinary differential expressions. Lecture Notes in Mathematics 989, Springer-Verag, 1983.
- B.G. Pachpatte: Inequalities for differential and integral equations. Inequalities for differential and integral equations, Academic Press, Inc., 1998.
- S.G. Pandit & S.G. Deo: Differential systems involving impulses. Lecture Notes in Math. 954, Springer-Verlag, Berlin, 1982.
- W.F. Pfeffer: The Riemann approach to integration: local geometric theory. Cambridge Tracts in Mathematics 109, Cambridge University Press, 1993.
- W. Rudin: Functional analysis. McGraw-Hill, New York, 1973.
- H. Schaefer: Uber die methode der a priori-Schranken. Math. Ann. 29 (1955), 415-416.
- S. Schwabik: Generalized ordinary differential equations. World Scientific, Singapore, 1992.
- S. Schwabik, M. Tvrdy & O. Vejvoda: Differential and integral equations: Boundary value problems and adjoints. Academia and D. Reidel, Praha and Dordrecht, 1979.
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- STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES vol.21, pp.1, 2011, https://doi.org/10.7468/jksmeb.2014.21.1.61