Wendroff type inequalities
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- by R. P. Shastri and D. Y. Kasture PDF
- Proc. Amer. Math. Soc. 72 (1978), 248-250 Request permission
Erratum: Proc. Amer. Math. Soc. 75 (1979), 374.
Abstract:
Results (1) and (3) of Wendroff on two-variable scalar integral inequalities, quoted without proof by Beckenback and Bellman [1, p. 154] have been generalized to cover a system of integral inequalities by following an approach different from that of Jagdish Chandra and Davis [3].References
- Edwin F. Beckenbach and Richard Bellman, Inequalities, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 30, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0158038
- Sudhanshu K. Ghoshal and M. Abu Masood, Gronwall’s vector inequality and its application to a class of non-self-adjoint linear and non-linear hyperbolic partial differential equations, J. Indian Math. Soc. (N.S.) 38 (1974), no. 1, 2, 3, 4, 383–394 (1975). MR 445129, DOI 10.1111/j.1467-8586.1986.tb00224.x
- Jagdish Chandra and Paul W. Davis, Linear generalizations of Gronwall’s inequality, Proc. Amer. Math. Soc. 60 (1976), 157–160 (1977). MR 422735, DOI 10.1090/S0002-9939-1976-0422735-3 V. Lakshmikantham and S. Leela, Differential and integral inequalities, Vol. II, Academic Press, New York, 1969, p. 224.
- Donald R. Snow, Gronwall’s inequality for systems of partial differential equations in two independent variables, Proc. Amer. Math. Soc. 33 (1972), 46–54. MR 298188, DOI 10.1090/S0002-9939-1972-0298188-1
- Wolfgang Walter, Differential and integral inequalities, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 55, Springer-Verlag, New York-Berlin, 1970. Translated from the German by Lisa Rosenblatt and Lawrence Shampine. MR 0271508
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 248-250
- MSC: Primary 35B45; Secondary 34A40, 45K05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0507316-7
- MathSciNet review: 507316