Literature cited
S. G. Deo and M. G. Murdeshwar, “A note on Gronwall's inequality,” Bull. London Math. Soc., 3, No. 1, 34–36 (1971).
R. Gutowski, “Etude d'une inégalité intégrale nonlinéaire en deux variables,” Ann. Polon. Math.,35, No. 3, 247–252 (1978).
E. F. Beckenbach and R. Bellman, Inequalities, Springer-Verlag, Berlin (1971).
A. N. Filatov and L. V. Sharova, Integral Inequalities and the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1976).
A. A. Martynyuk and R. Gutovski (R. Gutowski), Integral Inequalities and Stability of Motion [in Russian], Naukova Dumka, Kiev (1979).
W. Walter, Differential and Integral Inequalities, Springer-Verlag, Berlin (1970).
N. S. Kurpel' and B. A. Shuvar, Two-Sided Operator Inequalities and Their Applications [in Russian], Naukova Dumka, Kiev (1980).
B. A. Shuvar and M. I. Kopach, “On two-sided integral inequalities of Volterra type with several independent variables,” Ukr. Mat. Zh.,33, No. 6, 848–853 (1981).
B. A. Shuvar and M. I. Kopach, “Multidimensional analogues of the Gronwall-Bellman inequality,” Dokl. Akad. Nauk USSR, Ser. A, No. 4, 302–305 (1983).
V. A. Bondarenko, “Integral inequalities for a Volterra equation in a Banach space with a cone,” Mat. Zametki,9, No. 3, 151–160 (1971).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 532–536, July–August, 1984.
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Shuvar, B.A. Integral inequalities of the Bihari and Wendroff type. Ukr Math J 36, 438–442 (1984). https://doi.org/10.1007/BF01066573
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DOI: https://doi.org/10.1007/BF01066573