Eigenvalue problems for a three-point boundary-value problem on a time scale

Time-Scale-Dependent Criteria for the Existence of Positive Solutions to p-Laplacian Multipoint Boundary Value Problem

“…As one of the focal topics in the research of dynamic equations on time scales, the study of boundary value problems for some specific dynamic equations on time scales recently has elicited a great deal of attention from mathematical community [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] . In particular, a series of works have been presented to discuss the existence of positive solutions in the boundary value problems for the second-order equations on time scales 14-21 .…”

Positive Solutions for Boundary Value Problems with Fractional Order

“…Some authors have used fixed point theorems to show the existence of positive solutions to boundary value problems for ordinary differential equations, difference equations, and dynamic equations on time scales, see for example [2,15,19,20,21,24,36] and references therein. In other papers, [20,21], authors have use fixed point theory to show the existence of solutions to singular boundary value problems. Still other papers have used cone theoretic techniques to compare the smallest eigenvalues of two operators, see [4,6].…”

Existence of positive solutions for nonlinear m-point boundary value problems on time scales

“…Recently, the existence and multiplicity of positive solutions for nonlinear differential equations on time scales have been studied by some authors [7][8][9][10][11], and there has been some merging of existence of positive solutions to BVPs with p-Laplacian on time scales [12][13][14][15][16][17][18][19].…”