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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 1 | Year 2017 | Article Id. IJMTT-V52P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P508

On Nonlinear Integral Inequalities in One variable and Applications


S. G. Latpate
Abstract

In this paper, we establish integral inequalities in one variable which are useful to study di erential and integral equations.

Keywords
Integral inequalities, Integral equations, Bounded Functions.
References

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[2] R. Bellman, The stability of solutions of linear dierential equations, Duke Math. J. 10 (1943) 643 -647.
[3] S. D. Kendre and S. G. Latpate; On Some Nonlinear Integral Inequalities of Pachpatte Type; Advances in Inequalities and Appl., 2014, 6 (1-11).
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[5] Fangcui Jiang, Fanwei Meng, Explicit bounds on some new nonlinear integral inequality with delay, J. Comput. Appl. Math. 205 (2007) 479-486.
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[8] Lianzhong Li, Fanwei Mengb, Leliang Hea;Some generalized integral inequalities and their applications, J. Math. Anal. Appl. 372 (2010) 339-349.
[9] B.G. Pachpatte, Inequalities for Differential and Integral Equations, Academic Press, New York and London, 1998.
[10] B. G. Pachpatte, Integral and finite difference inequalities and applications, North-Holland Mathematics studies 205 2006.
[11] C. J. Zhao, Some integral Inequalities for Differential equations, J.Binzhou Teachers College, 17(4), (2001), 41-46, (in Chinese), (1998).

Citation :

S. G. Latpate, "On Nonlinear Integral Inequalities in One variable and Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 1, pp. 59-63, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P508

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