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On some new nonlinear delay integral inequalities. (English) Zbl 0974.26015
From the authors’ summary: Some new nonlinear delay integral inequalities of Ou-Iang type are obtained which generalize some results of {\it B. G. Pachpatte} [Period. Math. Hung. 31, No. 3, 229-234 (1995; Zbl 0854.26012)] and {\it E. H. Yang} [Ann. Differ. Equations 13, No. 2, 180-188 (1997; Zbl 0885.34010)]. An application example is also indicated.

##### MSC:
 26D15 Inequalities for sums, series and integrals of real functions
Full Text:
##### References:
 [1] Beesack, P. R.: On lakshmikantham’s comparison method for Gronwall inequalities. Ann. polon. Math. 35, 187-222 (1977) · Zbl 0318.26016 [2] Ou-Iang, L.: The boundedness of solutions of linear differential equations Y”+$A(t)$Y=0. Shuxue jinzhan 3, 409-418 (1957) [3] Pachpatte, B. G.: On a certain inequality arising in the theory of differential equations. J. math. Anal. appl. 182, 143-157 (1994) · Zbl 0806.26009 [4] Pachpatte, B. G.: On some new inequalities related to certain inequalities in the theory of differential equations. J. math. Anal. appl. 189, 128-144 (1995) · Zbl 0824.26010 [5] Pachpatte, B. G.: A note on certain integral inequalities with delay. Period. math. Hunar. 31, 229-234 (1995) · Zbl 0854.26012 [6] Tsamatos, P. Ch; Ntouyas, S. K.: On a Bellman--bihari type inequality with delay. Period. math. Hungar. 23, 91-94 (1991) · Zbl 0746.26011 [7] Yang, E. H.: Generalizations of Pachpatte’s integral and discrete inequalities. Ann. differential equations 13, 180-188 (1997) · Zbl 0885.34010