Wendroff type inequalities

Author:

Shastri R. P.,Kasture D. Y.

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].

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 30;Beckenbach, Edwin F.,1961

2. Gronwall’s vector inequality and its application to a class of non-self-adjoint linear and non-linear hyperbolic partial differential equations;Ghoshal, Sudhanshu K.;J. Indian Math. Soc. (N.S.),1974

3. Linear generalizations of Gronwall’s inequality;Chandra, Jagdish;Proc. Amer. Math. Soc.,1976

4. V. Lakshmikantham and S. Leela, Differential and integral inequalities, Vol. II, Academic Press, New York, 1969, p. 224.

5. Gronwall’s inequality for systems of partial differential equations in two independent variables;Snow, Donald R.;Proc. Amer. Math. Soc.,1972

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