Positive solutions to singular third-order three-point boundary value problems on time scales

Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales

“…Recently, in [21], Hu considered the following singular third-order three-point boundary value problem on time scales:…”

“…where , , and are defined in (16)- (21), respectively. Then the problem (1) has at least one positive solution.…”

“…There is much attention paid to the existence of positive solution for higher-order two-point boundary value problems on time scales [11][12][13][14][15]. However, to the best of our knowledge, there are not many results concerning multipoint boundary value problems of higher-order on time scales; we refer the reader to [16][17][18][19][20][21][22][23][24] for some recent results.…”

“…We would like to mention some results of Anderson and Avery [16], Anderson and Karaca [17], Han and Liu [20], and Hu [21]. In [16], Anderson and Avery studied the following even-order BVP:…”

Multiple positive solutions for first-order impulsive integral boundary value problems on time scales

“…For the background and results, we refer the reader to some recent contributions [1][2][3][4][5] and references therein. At the same time, boundary value problems for impulsive differential equations and impulsive difference equations have received much attention [6][7][8][9][10][11][12], since such equations may exhibit several real-world phenomena in physics, biology, engineering, etc.…”