Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A measure differential inequality with applications


Author: R. R. Sharma
Journal: Proc. Amer. Math. Soc. 48 (1975), 87-97
MSC: Primary 34G05
DOI: https://doi.org/10.1090/S0002-9939-1975-0364802-8
MathSciNet review: 0364802
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A measure differential inequality is established and is used to prove a result on the maximum solution, a comparison theorem and a uniqueness theorem of Perron type for abstract measure differential equations.


References [Enhancements On Off] (What's this?)

  • [1] N. Dunford and J. T. Schwartz, Linear operators. I: General theory, Pure and Appl. Math., vol. 7, Interscience, New York, 1958. MR 22 #8302. MR 0117523 (22:8302)
  • [2] V. Lakshmikantham and S. Leela, Differential and integral inequalities. Vol. I, Math. in Sci. and Engineering, vol. 55-I, Academic Press, New York, 1969.
  • [3] W. Rudin, Real and complex analysis, McGraw-Hill, New York, 1966. MR 35 #1420. MR 0210528 (35:1420)
  • [4] R. R. Sharma, An abstract measure differential equation, Proc. Amer. Math. Soc. 32 (1972), 503-510. MR 45 #691. MR 0291600 (45:691)
  • [5] -, Existence of solutions of abstract measure differential equations, Proc. Amer. Math. Soc. 35 (1972), 129-136. MR 46 #3943. MR 0304811 (46:3943)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34G05

Retrieve articles in all journals with MSC: 34G05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0364802-8
Keywords: Abstract measure differential equation, measure differential inequality, Radon-Nikodym derivative, total variation measure
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society