Volume 52 | Number 1 | Year 2017 | Article Id. IJMTT-V52P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P508
In this paper, we establish integral inequalities in one variable which are useful to study dierential and integral equations.
[1] A. Abdeldaim and M.Yakout, On some new inequalities of Gronwall-Bellman-Pachpatte type, Appl. Math. Comput. 217 (2011) 7887-7899.
[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).
[4] H. El-Owaidy, A. Ragab, A. Abdeldaim, On some new integral inequalities of Growall Bellman type, Applied Mathematics and Computation 106 (1999) 289-303.
[5] Fangcui Jiang, Fanwei Meng, Explicit bounds on some new nonlinear integral inequality with delay, J. Comput. Appl. Math. 205 (2007) 479-486.
[6] Fan Wei Meng and Wei Nian Li, On some new integral inequalitise and their applications, Applied Mathematics and Computation. 148 (2004) 381-392.
[7] H. T. Gronwall, Note on the derivatives with respect to a parameter of the solutions of a system of dierential equations, Ann. Math. 2 (1918-1919) 292-296.
[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).
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