Name
Abstract | ||
|---|---|---|
This paper is concerned with the existence of integral solutions to a general nonlinear integral equationx(t)=f"1(t,x(@f"1(t)))+f"2t,@!"0^@f^"^2^(^t^)k(t,s)f"3(s,x(@f"3(s)))ds,t@?R^+.With the help of Krasnoselskii's fixed point theorem and the theory of measure of weak noncompactness, we establish a new and general existence theorem for the nonlinear functional integral equation. Moreover, an example, which can not be treated by the related theorems in [5,20,22], is given to illustrate the new existence theorem. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2012.10.099 | Applied Mathematics and Computation |
Keywords | Field | DocType |
weak noncompactness,integral solution,general existence theorem,related theorem,new existence theorem,general nonlinear integral equationx,nonlinear functional integral equation,fixed point theorem,integral equation,fixed point | Existence theorem,Mathematical optimization,Nonlinear system,Mathematical analysis,Integral equation,Daniell integral,Fixed point,Nonlinear integral equation,Mathematics,Fixed-point theorem | Journal |
Volume | Issue | ISSN |
219 | 10 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jin Liang | 1 | 40 | 11.57 |
| Sheng-Hua Yan | 2 | 0 | 0.68 |
| Ravi P. Agarwal | 3 | 127 | 51.30 |
| Tingwen Huang | 4 | 5684 | 310.24 |