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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An abstract measure differential equation
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by R. R. Sharma PDF
Proc. Amer. Math. Soc. 32 (1972), 503-510 Request permission

Abstract:

An abstract measure differential equation is introduced as a generalization of ordinary differential equations and measure differential equations. The existence and extension of solutions of this equation are considered.
References
  • P. C. Das and R. R. Sharma, On optimal controls for measure delay-differential equations, SIAM J. Control 9 (1971), 43–61. MR 0274898
  • 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
  • Walter Rudin, Real and complex analysis, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210528
  • W. W. Schmaedeke, Optimal control theory for nonlinear vector differential equations containing measures, J. SIAM Control Ser. A 3 (1965), 231–280. MR 189870
  • P. C. Das and R. R. Sharma, Existence and stability of measure differential equations, Czechoslovak Math. J. 22(97) (1972), 145–158. MR 304815
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 32 (1972), 503-510
  • MSC: Primary 34G05
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0291600-3
  • MathSciNet review: 0291600