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More Generalised Discrete Gronwall Inequalities
Author(s) -
Beesack P. R.
Publication year - 1985
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19850651202
Subject(s) - mathematics , gronwall's inequality , kernel (algebra) , inequality , work (physics) , volterra integral equation , mathematical analysis , integral equation , pure mathematics , physics , thermodynamics
The most general linear discrete Gronwall inequality is first considered, and best possible solutions of the inequality are obtained by elementary methods which are discrete analgoues of those used for Volterra integral equations. Upper bounds are also obtained for solutions in case the kernel is of a generalised Abel type, improving and extending recent work of S. Mc Kee.