On Some Nonlinear Integral and Discrete Inequalitites Related to Ou-Iang’s Inequality

On Some Nonlinear Integral and Discrete Inequalitites Related to Ou-Iang’s Inequality

<正> Nonlinear integral and discrete inequalities are obtained. which are related to some recentresults of B. C. Pachpatte in [1] given therein as generalizations of Ou-Iang’s integral inequality[2].As special cases, some new inequalities with the power nonlinearity are derived from the...

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Veröffentlicht in:Acta mathematica Sinica. English series 1998-07, Vol.14 (3), p.353-360
1. Verfasser: Enhao, Yang
Format: Artikel
Sprache:eng
Schlagworte:
analogue
Power
bound
Difference equations
Inequalities
inequality
Discrete
integral
Integrals
Mathematical analysis
Nonlinear
Nonlinearity
nonlinearity
A
priori
Studies
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Zusammenfassung:<正> Nonlinear integral and discrete inequalities are obtained. which are related to some recentresults of B. C. Pachpatte in [1] given therein as generalizations of Ou-Iang’s integral inequality[2].As special cases, some new inequalities with the power nonlinearity are derived from the main results.To show the contribution of our results, boundedness of solutions to certain nonlinear differenceequation is also considered.
ISSN:1439-8516
1439-7617
DOI:10.1007/BF02580438