Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order

On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions

“…In this section, we introduce basic requirements and theorem to prove existence and uniqueness of solution for firstorder integrodifferential equation with integral boundary condition consisting of delay parameter (1). For detailed descriptions, we refer the reader to [17,18].…”

Integral boundary value problem for impulsive integro-differential equations in Banach spaces

“…However, the corresponding theory of impulsive integro-differential equations in abstract spaces is still at an initial stage of development. For the basic theory and recent development, the reader is referred to [1][2][3][4][5][6][7][8][9][10][11][12][13] and references therein.…”

Multi-point boundary value problem for first order impulsive integro-differential equations with multi-point jump conditions

“…The monotone iterative technique coupled with the method of lower and upper solutions is a powerful method used to approximate solutions of several nonlinear problems (see [4][5][6][7][8][9][10][11][12][13][14]). Boundary value problems for first order impulsive functional differential equations with lower and upper solutions in reversed order have been widely discussed in recent years (see [15][16][17][18][19][20]). However, the discussion of multi-point boundary value problems for first order impulsive functional differential equations is very limited (see [21]).…”