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Integro-differential inequalities with initial time difference and applications. (English) Zbl 1067.45003
Summary: Integro-differential inequalities with initial time difference are discussed. They play an important role in the investigation of initial value problems of integro-differential equations where the initial time differs. The existence of extremal solutions is investigated by the monotone iterative technique.
MSC:
45J05Integro-ordinary differential equations
26D10Inequalities involving derivatives, differential and integral operators
45L05Theoretical approximation of solutions of integral equations