Existence of solutions of abstract measure differential equations
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- by R. R. Sharma PDF
- Proc. Amer. Math. Soc. 35 (1972), 129-136 Request permission
Abstract:
In an earlier paper the author has introduced an abstract measure differential equation as a generalization of ordinary differential equations and measure differential equations, and proved a theorem for the existence and uniqueness of solutions of this equation. In the present paper the problem of the existence of solutions is further investigated.References
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- 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
- 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
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 129-136
- MSC: Primary 34G05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0304811-5
- MathSciNet review: 0304811