Gronwall T H. Note on the derivatives with respect to a parameter of the solutions of a system of differential equations[J]. Ann Math,1919,20:292-296.
[2]
Bellman R. The stability of solutions of linear differential equations[J]. Duke Math J,1943,10:643-647.
[3]
Bihari I. A generalization of lemma of Bellman and its application to uniqueness problems of differential equations[J]. Acta Math Acad Sci Hung,1956,7:81-94.
[4]
Lipovan O. A retarded Gronwall-like inequality and its applications[J]. J Math Anal Appl,2000,252:389-401.
[5]
Agarwal R P, Deng S, Zhang W. Generalization of a retarded Gronwall-like inequality and its applications[J]. Appl Math Comput,2005,165:599-612.
[6]
Mate A, Nevai P. Sublinar perturbations of differential equations y(n)=0 and of the analogous difference equation[J]. J Diff Eqns,1984,52:234-257.
[7]
Pachpatte B G. On some fundamental finite difference inequalities[J]. Tamkang J Math,2001,32:217-223.
[8]
Pachpatte B G. On some finite difference inequalities in two independent variables[J]. J Math Anal Appl,2001,254(2):587-598.
[9]
Blandzi E M, Popenda J, Agarwal R P. Best possible Gronwall inequalities[J]. Math Comput Model,1997,26(3):1-8.
[10]
Lü T, Huang Y. A generalization of discrete Gronwall inequality and its application to weakly singular volterra integral equality of the second kind[J]. J Math Anal Appl,2003,282:56-62.
[11]
Udpin S, Niamsup P. New discrete type inequalities and global stability of nonlinear difference equations[J]. Appl Math Lett,2009,22:856-859.
[12]
Ma Q H. Some new nonlinear Volterra–Fredholm-type discrete inequalities and their applications[J]. J Comupt Appl Math,2008,216:451-466.
[13]
Ma Q H. Estimates on some power nonlinear Volterra–Fredholm type discrete inequalities and their applications[J]. J Comupt Appl Math,2010,233:2170-2180.
Pachpatte B G. Inequalities for Differential and Integral Equations[M]. New York:Academic Press,1998.
[17]
Yang E H, Tan M C. Pointwise estimate of bounded solutions to some discrete inequalities involving infinite summation[J]. Ann Diff Eqns,2008,24(2):215-223.
[18]
Pachpatte B G. Inequalities applicable in the theory of finite difference equations[J]. J Math Anal Appl,1998,222:438-459.
[19]
Meng F, Li W. On some new nonlinear discrete inequalities and their applications[J]. J Comput Appl Math,2003,158:407-417.
[20]
Deng S. Nonlinear discrete inequalities with two variables and their applications[J]. Appl Math Comput,2010,217:2217-2225.