Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Remarks on differential inequalities in Banach spaces
HTML articles powered by AMS MathViewer

by Robert H. Martin PDF
Proc. Amer. Math. Soc. 53 (1975), 65-71 Request permission

Abstract:

Under certain conditions a comparison is made between solutions of a pair of initial value problems in a Banach space. This comparison includes and unifies several recent results on differential inequalities in Banach spaces.
References
  • L. Bittner, Die elementaren Differential- und Integralungleichungen mit einem allgemeinen Ungleichungsbegriff, Math. Nachr. 38 (1968), 1–17 (German). MR 239232, DOI 10.1002/mana.19680380102
    • G. Köthe, Topologische linear Räume. I, 2nd ed., Die Grundlehren der math. Wissenschaften, Band 107, Springer-Verlag, Berlin, 1966; English transl., Die Grundlehren der math. Wissenschaften, Band 159, Springer-Verlag, New York, 1969. MR 33 #3069; 40 #1750.
  • Robert H. Martin Jr., Approximation and existence of solutions to ordinary differential equations in Banach spaces, Funkcial. Ekvac. 16 (1973), 195–211. MR 352641
  • R. H. Martin Jr., Remarks on ordinary differential equations involving dissipative and compact operators, J. London Math. Soc. (2) 10 (1975), 61–65. MR 369849, DOI 10.1112/jlms/s2-10.1.61
  • R. M. Redheffer and W. Walter, Flow-invariant sets and differential inequalities in normed spaces, Applicable Anal. 5 (1975), no. 2, 149–161. MR 470401, DOI 10.1080/00036817508839117
  • Peter Volkmann, Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen, Math. Z. 127 (1972), 157–164 (German). MR 308547, DOI 10.1007/BF01112607
  • P. Volkman, Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in Banachräumen, Ordinary and partial differential equations (Proc. Conf., Univ. Dundee, Dundee, 1974) Lecture Notes in Math., Vol. 415, Springer, Berlin, 1974, pp. 439–443. MR 0432995
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34G05, 47H15
  • Retrieve articles in all journals with MSC: 34G05, 47H15
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 65-71
  • MSC: Primary 34G05; Secondary 47H15
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0377220-3
  • MathSciNet review: 0377220