Upper and lower solution method for a fourth-order four-point boundary value problem on time scales

Existence of Solutions for a Class of Fourth-Order Multipoint Boundary-Value Problems on Time Scales

“…Recently, Pang and Bai [6] generalized the problem discussed in [11] to the following fourth-order BVP on time scales:…”

“…In recent years, various boundary-value problems (BVPs, for short) on time scales have been studied by numerous authors, (see, e.g., [2][3][4][5][6][7][8][9] and the references therein).…”

“…Recently, much attention has been focused on the existence of solutions for fourth-order BVPs (see [5,6,[10][11][12][13][14]). In particular, Feng, et al [10] applied the lower and upper solution method to study the existence and uniqueness for the following fourth-order two-point 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.…”

The shooting method and positive solutions of fourth-order impulsive differential equations with multi-strip integral boundary conditions

“…For an overview of existing results and of recent research areas of impulsive differential equations, see [7][8][9][10].…”