Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624117 | Journal of Mathematical Analysis and Applications | 2006 | 20 Pages |
Abstract
A class of nonlocal second-order ordinary differential equations of the formyâ³(x)=f(x,y(x),(yâλ)(x),yâ²(x)) for continuous f and λ is studied. The equation is supplemented with none, one, or two Robin boundary conditions depending on whether the interval of interest I is finite, semi-infinite or infinite. The only other restriction on the function λ is that it maps I into itself. Sufficient conditions for the existence of a solution are found, which include the assumption of the existence of 'upper' and 'lower' solutions. The upper and lower solutions provide bounds for the solution on I.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ronald Begg,