Monotone method for first order singular systems with boundary conditions

Abstract

Existence of maximal and minimal solutions are proved for the first order singular systems with boundary conditions by combining the method of upper and lower solutions and the monotone iterative technique.

Initial value problems of nonlinear singular discrete systems with delay

“…It is a powerful tool for proving the existence of solutions of nonlinear singular systems. This technique is also used in [6] and [7]. In this paper we discuss the IVP of nonlinear singular discrete systems with delay, by using the same method.…”

Monotone iterative technique for initial-value problems of nonlinear singular discrete systems

“…Some applicable examples and basic results can be found in the monographs of Campbell [1,2] and manuscripts of Rosenbrock [3], Uvah and Vatsala [4] and Vatsala [5]. Recently, much attention has been paid to singular discrete systems.…”