Mixed monotone iterative technique for impulsive periodic boundary value problems in Banach spaces (Q610838)

For first-order ordinary differential equations in an ordered Banach space, subject to periodic boundary conditions and additional ``impulsive'' jump conditions at given intermediate points, upper and lower solutions and monotone iteration techniques are used to obtain existence of (and convergence to) minimal and maximal ``\(L\)-quasi-solutions'', and of at least one solution between them. An example illustrates the results.