Name
Title | ||
|---|---|---|
The monotone method for periodic differential equations with the non well-ordered upper and lower solutions |
Abstract | ||
|---|---|---|
In this paper, we consider the following periodic problem: x^''(t)=g(t,x(t),x^'(t)),a.e. t@?(a,b),x(a)=x(b),x^'(a)=x^'(b). The unique solution is obtained by constructing an auxiliary periodic system with bounded solutions and proving these bounds to be equal, in which case they are the expected unique solution. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cam.2009.07.002 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
auxiliary periodic system,monotone method,unique solution,expected unique solution,following periodic problem,periodic differential equation,lower solution,bounded solution,differential equation,iteration method,maximum principle | Monotone method,Differential equation,Mathematical optimization,Maximum principle,Mathematical analysis,Iterative method,Numerical analysis,Periodic graph (geometry),Mathematics,Periodic system,Bounded function | Journal |
Volume | Issue | ISSN |
232 | 2 | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Aijun Yang | 1 | 2 | 0.76 |
| Weigao Ge | 2 | 158 | 46.20 |