Existence results for p-Laplacian boundary value problems of impulsive dynamic equations on time scales

Abstract

In this paper, Bai-Ge's fixed point theorem is used to investigate the existence of positive solutions for second-order boundary value problems of p-Laplacian impulsive dynamic equations on time scales. As an application, we give an example to demonstrate our results.

Positive solutions for second-order impulsive time scale boundary value problems on infinite intervals

“…For the introduction of the theory of impulsive differential equations, we refer to the books [4][5][6]. Especially, the study of impulsive dynamic equations on time scales has also attracted much attention since it provides an unifying structure for differential equations in the continuous cases and finite difference equations in the discrete cases, see [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and references therein. In recent years, there are a few authors studied the existence of positive solutions for time scale boundary value problems on infinite intervals.…”

Positive solutions for multi point impulsive boundary value problems on time scales

“…We refer to the books [4,5,6] for the introduction of the theory of impulsive differential equations. The study of impulsive dynamic equations on time scales has also attracted much attention because it provides an unifying structure for differential equations in the continuous cases and finite difference equations in the discrete cases; see, [7,8,9,10,11,12,13,14,15,16,17,18] and references therein.…”

Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations withp-Laplacian Operator

“…Many of the mathematical problems encountered in the study of impulsive differential equations cannot be treated with the usual techniques within the standard framework of ordinary differential equations. For the introduction of the basic theory of impulsive equations, see [17][18][19][20][21][22] and the references therein. It is worthwhile mentioning that impulsive differential equations of fractional order have not been much studied and many aspects of these equations are yet to be explored.…”