doi: 10.17706/ijapm.2016.6.3.138-149
Positive Solutions for a System of Second-Order Differential Equations with Integral Boundary Conditions
,
Rodica Luca
2
,
- 1 Baylor University, Department of Mathematics, Waco, Texas, 76798-7328 USA.
- 2 Gh. Asachi Technical University, Department of Mathematics, Iasi 700506, Romania
- 3 Gh. Asachi Technical University, Faculty of Computer Engineering and Automatic Control, Iasi 700050
Abstract
In this paper, we study a system of nonlinear second-order ordinary differential equations with Riemann-Stieltjes integral boundary conditions which contain some positive constants. By using the Schauder fixed point theorem and some properties of the associated Green's functions, we show that this problem has at least one positive solution for sufficiently small constants. Then, we give sufficient conditions for the nonexistence of positive solutions. Similar results for other three boundary value problems are also presented.
Keywords
- Existence
- integral boundary conditions
- nonexistence
- positive solutions
- second-order differential equations
How to Cite
Johnny Henderson, Rodica Luca, and Alexandru Tudorache, "Positive Solutions for a System of Second-Order Differential Equations with Integral Boundary Conditions," International Journal of Applied Physics and Mathematics, vol. 6, no. 3, pp. 138-149, 2016. https://doi.org/ 10.17706/ijapm.2016.6.3.138-149
Copyright & License
Copyright © 2016 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).