Butler, Geoffrey; Rogers, T. A generalization of a lemma of Bihari and applications to pointwise estimates for integral equations. (English) Zbl 0209.42503 J. Math. Anal. Appl. 33, 77-81 (1971). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 18 Documents MSC: 45M99 Qualitative behavior of solutions to integral equations 26D15 Inequalities for sums, series and integrals 45L05 Theoretical approximation of solutions to integral equations × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bihari, I., A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hung., 7, 81-84 (1956) · Zbl 0070.08201 [2] Beckenbach, Edwin F.; Bellman, Richard, (Inequalities (1965), Springer: Springer New York), 2nd Revised Printing · Zbl 0126.28002 [3] Willett, D., Nonlinear vector integral equations as contraction mappings, Arch. Rat. Mech. Anal., 14-15, 80-86 (1963-1964) · Zbl 0161.31902 [4] Gollwitzer, H. E., A note on a functional inequality, (Summer ODE Colloquium (1968), University of Alberta: University of Alberta Edmonton) · Zbl 0188.46601 [5] Muldowney, J. S.; Wong, J. S.W, Bounds for solutions of nonlinear integro-differential equations, J. Math. Anal. Appl., 23, 487-499 (1968) · Zbl 0169.14401 [6] Brauer, Fred, Bounds for solutions of ordinary differential equations, (Proc. Amer. Math. Soc., 14 (1963)), 36-43 · Zbl 0113.06803 [7] Chu, S.; Metcalf, F. T., On Gronwall’s inequality, (Proc. Amer. Math. Soc., 18 (1967)), 439-440 · Zbl 0148.28902 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.