A measure differential inequality with applications
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- by R. R. Sharma PDF
- Proc. Amer. Math. Soc. 48 (1975), 87-97 Request permission
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
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523 V. Lakshmikantham and S. Leela, Differential and integral inequalities. Vol. I, Math. in Sci. and Engineering, vol. 55-I, Academic Press, New York, 1969.
- Walter Rudin, Real and complex analysis, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210528
- R. R. Sharma, An abstract measure differential equation, Proc. Amer. Math. Soc. 32 (1972), 503–510. MR 291600, DOI 10.1090/S0002-9939-1972-0291600-3
- R. R. Sharma, Existence of solutions of abstract measure differential equations, Proc. Amer. Math. Soc. 35 (1972), 129–136. MR 304811, DOI 10.1090/S0002-9939-1972-0304811-5
Additional Information
- © Copyright 1975 American Mathematical Society
- 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