... & Mathematics with Applications,vol. 28, no. 1–3, pp. 227–241, 1994.6 E. Kurpınar, “On inequalities in the theory of differential equations and their discrete analogues,”Pan-American Mathematical ... properly cited. The theorem on the Gronwall’s type integral inequalities with two dependent limits is established.In application, the boundedness of the solutions of nonlinear differential equations ... North-Holland, Amsterdam, The Netherlands, 1985.16 S. Piskarev and S Y. Shaw, “On certain operator families related to cosine operator functions,”Taiwanese Journal of Mathematics, vol. 1, no....