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Kasture, D. Y.; Deo, S. G.

Inequalities of Gronwall type in two independent variables. (English) Zbl 0348.35016

J. Math. Anal. Appl. 58, 361-372 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 2 Documents

MSC:

35B45 A priori estimates in context of PDEs
45M99 Qualitative behavior of solutions to integral equations
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References:

[1] Gronwall, T. H., Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Ann. of Math., 20, 292-296 (1919) · JFM 47.0399.02
[2] Snow, D. R., A two-independent variable Gronwall-type inequality: Inequalities, III, (Proceedings of the Third Symposium on Inequalities. Proceedings of the Third Symposium on Inequalities, The University of California, 1969 (1971), Academic Press: Academic Press New York), 330-340
[3] Courant, R.; Hilbert, D., (Methods of Mathematical Physics, Vol. II (1966), Interscience), 450
[4] Copson, E. T., On the Riemann-Green-function, Arch. Ration. Mech. Anal., 324 (1957-1958) · Zbl 0081.08901
[5] Dhongade, U. D.; Deo, S. G., Some generalizations of inequalities of Bellman Bihari type, J. Math. Anal. Appl., 44, 218-226 (1973) · Zbl 0275.45018
[6] Beckenbach, E. F.; Bellman, R., Inequalities, Ergebnisse der Math., ((1961), Springer-Verlag: Springer-Verlag New York/Berlin), 154 · Zbl 0097.26502
[7] Willet, D., A linear generalization of Gronwall’s inequality, (Proc. Amer. Math. Soc., 16 (1965)), 774 · Zbl 0128.27604
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