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Existence of extremal solutions for non-linear impulsive functional integro-differential equations with anti-periodic boundary conditions. (English) Zbl 1186.34087

Summary: The monotone iterative technique coupled with the method of lower and upper solutions is employed to prove the existence of extremal solutions for an anti-periodic boundary value problem involving first order nonlinear impulsive functional integro-differential equations.

MSC:

34K07 Theoretical approximation of solutions to functional-differential equations
34K30 Functional-differential equations in abstract spaces
34K45 Functional-differential equations with impulses
45J05 Integro-ordinary differential equations
34K10 Boundary value problems for functional-differential equations
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