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Theory of differential and integral inequalities with initial time difference and applications. (English) Zbl 0988.34008
Rassias, Themistocles M. (ed.) et al., Analytic and geometric inequalities and applications. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 478, 191-203 (1999).
The authors continue their investigation on initial value problems for differential equations where the initial time changes with each solution in addition to the change of the dependent variable [J. Inequal. Appl. 3, No. 3, 233-244 (1999; Zbl 0933.34007)]. They study some differential and integral inequalities and then apply them to discuss the method of upper and lower solutions, monotone iterative technique, global existence and some simple stability criteria. For the entire collection see [Zbl 0947.00027].

34A40Differential inequalities (ODE)
34A12Initial value problems for ODE, existence, uniqueness, etc. of solutions