Positive Solutions for a Class of Nonresonant m-Point Boundary Value Problems

Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces

“…The existence and multiplicity of positive solutions for such problems have received a great deal of attention. To identify a few, we refer the reader to [2,[6][7][8][9][10][11][12][16][17][18][19][20][21][22][23][24][25][26] and references therein. But the corresponding theory for boundary-value problem with integral boundary conditions in Banach spaces has not been investigated until now.…”

Existence theorems for a second order nonlinear differential equation with nonlocal boundary conditions and their applications

“…Being directly inspired by [7,8,10,29], in the present paper, by using the fixed point index theorem in a cone, the authors prove some existence results of the problem (1.1)-(1. [7,8,10,29].…”

“…To identify a few, we refer the reader to [6, 8, 10, 14, 16-18, 22, 24-27, 29-33, 36, 37, 43, 45, 49-52] and references therein. In particular, we would like to mention some results of Guo and Lakshmikantham [10], Ma [29], Feng, Zhang and Ge [8] and Feng, Ji and Ge [7]. In [10], by using the fixed point theorem of strict-setcontractions, Guo and Lakshmikantham studied the existence of multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces:…”

“…Finally, the technique is completely different from [7,8,10,29] to deal with secondorder differential equation with nonlocal boundary conditions. Hence, we improve and generalize the results of [7,8,10,29] to some degree, and so, it is interesting and important to study the existence of positive solutions of problem (1.…”

Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations

“…For the case when I i = 0 and I i = 0, i = 1, 2, · · · , p, Feng and Ge [4] studied the existence and multiplicity of positive solutions of the following m-point boundary value problem for the second-order differential equation:…”