Name
Abstract | ||
|---|---|---|
This work is concerned with the existence of a second-order three-point boundary value problem on the half-line {x″(t)+f(t,x(t),x′(t))=0,0<t<+∞,x(0)=αx(η),limt→+∞x′(t)=0, where α∈R, α≠1 and η∈(0,+∞) are given. After the discussion of the Green function for the corresponding homogeneous system on the half-line, we establish some criteria for the existence of solutions to the system discussed with suitable conditions imposed on f. The results are obtained by the Leray–Schauder continuation theorem. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.aml.2005.10.018 | Applied Mathematics Letters |
Keywords | Field | DocType |
Three-point boundary value problem,Green function,Leray–Schauder continuation theorem,Half-line | Boundary value problem,Green's function,Homogeneous,Continuation theorem,Mathematical analysis,Half line,Mathematics | Journal |
Volume | Issue | ISSN |
19 | 10 | 0893-9659 |
Citations | PageRank | References |
5 | 0.97 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hairong Lian | 1 | 15 | 4.06 |
| Weigao Ge | 2 | 158 | 46.20 |