Positive solutions of nonlocal continuous second order BVP's
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Dynam. Systems Appl. |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Boundary value problem; second order differential equation; globally positive solution; asymptotic behavior |
| Attached files | |
| Description | A boundary value problem on the half-line to a class of second order differential equations is considered. In particular, the existence of solutions which start at the origin, are positive on the real half-line and tend to a nonzero constant as t tends to infinity, is studied. The solvability of this BVP is accomplished by a new approach which combines, in a suitable way, two separated problems on [0,1] and [1,\infty) and uses some continuity arguments. |
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