Abstract
This paper uses cone theory and the monotone iterative technique to investigate the existence of minimal nonnegative solutions of terminal value problems for first order nonlinear impulsive integro‐differential equations of mixed type in a Banach space.
Highlights
The theory of impulsive differential equations has become an important area of investigation
Let E be a real Banach space and P be a cone in E which defines a partial order in E: x
Axlt=t =x(t+m)-m x(tn which denotes the jump of x(t) at t-tm
Summary
This paper uses cone theory and the monotone iterative technique to investigate the existence of minimal nonnegative solutions of terminal value problems for first order nonlinear impulsive integro-differential equations of mixed type in a Banach space
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