Browse Journals

[1]  A. Abdeldaim and M. Yakout, On some new integral inequalities of Grönwall-Bellman-Pachpatte type, Applied Mathematics and Computation 217(20) (2011), 7887-7899.

DOI: https://doi.org/10.1016/j.amc.2011.02.093

[2] D. Bainov and P. Simeonov, Integral Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, 1992.

DOI: https://doi.org/10.1007/978-94-015-8034-2

[3] F. Barich, Some Grönwall-Bellman inequalities on time scales and their continuous forms: A survey, Symmetry, 13(2) (2021), 198.

DOI: https://doi.org/10.3390/sym13020198

[4] E. F. Beckenbach and R. Bellman, Inequalities, Springer-Verlag, New York, 1961.

DOI: https://doi.org/10.1007/978-3-642-64971-4

[5] R. Bellman, Stability Theory of Differential Equations, McGraw-Hill, New York, 1953.

[6] I. Bihari, A generalization of a lemma of Bellman and its application to uniqueness problem of differential equations, Acta Mathematica Academiae Scientiarum Hungarica 7 (1956), 81-94.

DOI: https://doi.org/10.1007/BF02022967

[7] J. Chandra and B. A. Fleishman, On a generalization of the Grönwall-Bellman Lemma in Partially Ordered Banach spaces, Journal of Mathematical Analysis and Applications 31(3) (1970), 668-681.

DOI: https://doi.org/10.1016/0022-247X(70)90016-8

[8] S. S. Dragomir and Y. H. Kim, On certain new integral inequalities and their applications, Journal of Inequalities in Pure and Applied Mathematics 3(4) (2002), Article 65.

[9] S. S. Dragomir and Y. H. Kim, Some integral inequalities for functions of two variables, Electronic Journal of Differential Equations 2003(10) (2003), 1-13.

[10] S. B. Faleye and A. A. Mogbademu, Some results on Grönwall-Bellman Integral Inequalities, Annals of Mathematics and Computer Science 3 (2021), 1-6.

[11] T. H. Grönwall, Note on the derivatives with respect to a parameter of solutions of a system of differential equations, Annals of Mathematics 20(4) (1919), 292-296.

DOI: https://doi.org/10.2307/1967124

 [12] L. Guiliano, Generalazzioni di un lemma di Grönwall. Accademia dei Lincei, 1946, pp. 1264-1271.

[13] V. Lakshmikantham, A variation of constants formula and Bellman-Grönwall-Reid inequalities, Journal of Mathematical Analysis and Applications 41(1) (1973), 199-204.

DOI: https://doi.org/10.1016/0022-247X(73)90195-9

[14] C. E. Langenhop, Bounds on the norm of a solution of a general differential equation, Proceedings of the American Mathematical Society 11(5) (1960), 795-799.

DOI: https://doi.org/10.2307/2034563

[15] D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities Involving Functions and their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, 1991.

DOI: https://doi.org/10.1007/978-94-011-3562-7

[16] V. V. Nemyckii and V. V. Stepanov, Qualitative Theory of Differential Equations, Gosudarstvennoye Izdatelstvo, Moscow, 1947.

[17] B. G. Pachpatte, On some fundamental integral inequalities arising in the theory of differential equations, Chinese Journal of Mathematics 22(3) (1994), 261-274.

[18] B. G. Pachpatte, Comparison Theorems related to a certain inequality used in the theory of differential equations, Soochow Journal of Mathematics 22 (1996), 383-394.

[19] B. G. Pachpatte, Inequalities for Differential and Integral Equations, Academic Press, New York and London, 1998.

[20] B. G. Pachpatte, On some fundamental integral inequalities and their discrete analogues, Journal of Inequalities in Pure and Applied Mathematics 2(2) (2001), Article 15.

[21] M. R. M. Rao and C. P. Tsokos, Integro-differential equations of Volterra type, Bulletin of the Australian Mathematical Society 3(1) (1970), 9-22.

DOI: https://doi.org/10.1017/S0004972700045603