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Integral inequalities and applications

K. Narsimha Reddy

Bulletin of the Australian Mathematical Society · 1980 · 20 citations · 6 references

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Abstract

In this paper some nonlinear analogues of Gronwall's integral inequality are established and an application to differential equations is given.

References

6

Note on the Derivatives with Respect to a Parameter of the Solutions of a System of Differential Equations

T. H. Gronwall · Annals of Mathematics · 1919 · 885 citations

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A generalization of a lemma of bellman and its application to uniqueness problems of differential equations

I. Bihari · Acta Mathematica Academiae Scientiarum Hungaricae · 1956 · 575 citations

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On a generalization of the Gronwall-Bellman lemma in partially ordered Banach spaces

Jagdish Chandra, B. A. Fleishman · Journal of Mathematical Analysis and Applications · 1970 · 48 citations

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Some generalizations of Bellman-Bihari integral inequalities

U.D Dhongade, Sadashiv G. Deo · Journal of Mathematical Analysis and Applications · 1973 · 42 citations

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Properties of solutions of an infinite system of ordinary linear differential equations of the first order with auxiliary boundary conditions

William T. Reid · Transactions of the American Mathematical Society · 1930 · 21 citations

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