Positive solutions of nonlinear third-order boundary value problems involving Stieltjes integral conditions. (English) Zbl 1479.34052
Authors’ abstract: In this paper, by using the Guo-Krasnoselskii theorem, we investigate the existence and nonexistence of positive solutions of a class of boundary value problem of third-order nonlinear differential equation involving Stieltjes integral conditions. Under some growth conditions imposed on the nonlinear term, we obtain explicit ranges of values of parameters with which the problem has a positive solution and has no positive solution respectively. An example is given to illustrate the main results of the paper.
Reviewer: Haiyan Wang (Phoenix)
MSC:
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 47H10 | Fixed-point theorems |
| 34B08 | Parameter dependent boundary value problems for ordinary differential equations |
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