Periodic boundary value problem for the first order impulsive functional differential equations

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]).…”

Permanence of a logistic type impulsive equation with infinite delay

“…By developing the idea of [2,9,1,12,13], we investigate the dynamics of system (1.4), that is, permanence and global attractivity of the positive solution of system (1.4). As we shall see, the results of this paper generalize the main results of [2,1,[13][14][15].…”

“…These results improved upon the main results of Seifert. For more works on single species model, one could refer to [5][6][7][8][9] and the references therein. On the other hand, biological species may undergo discrete changes of relatively short duration at a fixed time.…”

A survey and some new results on the existence of solutions of IPBVPS for first order functional differential equations

“…Yang and Shen in [23], [11], [7], by introducing the concept of lower and upper solutions of IPBVP (5), proved that the method of lower and upper solutions coupled with a monotone iterative technique also works.…”