Name
Title | ||
|---|---|---|
Existence and approximation of solutions for nonlinear second-order four-point boundary value problems |
Abstract | ||
|---|---|---|
Applying the method of upper and lower solutions, Leray-Schauder degree theory and one-sided Nagumo condition, we obtain the existence and uniqueness results for a class of nonlinear second-order four-point boundary value problems. By the generalized approximation method, a monotone iteration sequence which converges uniformly to the unique solution of the nonlinear problem and converges quadratically to the unique solution of the linear problem is also obtained. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.mcm.2008.11.018 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
generalized approximation method,unique solution,linear problem,nonlinear second-order four-point boundary,leray-schauder degree theory,value problem,the generalized approximation method,converges quadratically,one-sided nagumo condition,leray–schauder degree theory,nonlinear problem,the method of upper and lower solutions,monotone iteration sequence,lower solution,second order,boundary value problem | Linear problem,Uniqueness,Boundary value problem,Quadratic growth,Mathematical optimization,Nonlinear system,Mathematical analysis,Numerical analysis,Partial differential equation,Monotone polygon,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 9-10 | Mathematical and Computer Modelling |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Libo Wang | 1 | 9 | 7.00 |
| Minghe Pei | 2 | 10 | 3.71 |
| Weigao Ge | 3 | 158 | 46.20 |