... Pachpatte, BG: A note on certain integral inequalities with delay. Period Math Hungar. 31, 234–299 (1995)8. Pachpatte, BG: On some new nonlinear retarded integral inequalities. J Inequal Pure Appl Math ... R+), and a, j, ψ , ω, a,b, J, Y are defined as in Theorem 2.3. If u Î C(R+× R+, R+) satisfies the following inte-gral inequality containing multiple integralsφ(u(x, y)) ≤a(x, y)+β(y)0α(x)0[f ... R+), i =1,2,anda, j, ψ, ω, J, Yare defined as in Theorem 2.3. If u Î C(R+× R+, R+) satisfies the following integralinequality containing multiple integralsφ(u(x, y)) ≤ a(x, y)+β(y)0α(x)0[f1(s,...