Pachpatte, B. G. A note on Gronwall-Bellman inequality. (English) Zbl 0274.45011 J. Math. Anal. Appl. 44, 758-762 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 ReviewsCited in 52 Documents MSC: 45M10 Stability theory for integral equations 45M99 Qualitative behavior of solutions to integral equations × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bellman, R., Stability Theory of Differential Equations (1953), McGraw-Hill: McGraw-Hill New York · Zbl 0052.31505 [2] Chandra, J.; Fleishman, B. A., On a generalization of the Gronwall-Bellman lemma in partially ordered Banach spaces, J. Math. Anal. Appl., 31, 668-681 (1970) · Zbl 0179.20302 [3] Coddington, E. A.; Levinson, N., Theory of Ordinary Differential Equations (1955), McGraw-Hill: McGraw-Hill New York · Zbl 0042.32602 [4] Gronwall, T. H., Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Ann. Math., 20, 292-296 (1919) · JFM 47.0399.02 [5] Lakshmikantham, V., A variation of Constants formula and Bellman-Gronwall-Reid inequalities, J. Math. Anal. Appl., 41, 199-204 (1973) · Zbl 0251.34009 [6] Rao, M. Rama Mohana; Tsokos, C. P., Integrodifferential equations of Volterra type, Bull. Austral. Math. Soc., 3, 9-22 (1970) · Zbl 0201.44002 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.