Name
Title | ||
|---|---|---|
A General Representation for the Green's Function of Second Order Nonlinear Differential Equations |
Abstract | ||
|---|---|---|
In this paper we study some classes of second order non-homogeneous nonlinear differential equations allowing a specific representation for nonlinear Greenu0027s function. In particular, we show that if the nonlinear term possesses a special multiplicativity property, then its Greenu0027s function is represented as the product of the Heaviside function and the general solution of the corresponding homogeneous equations subject to non-homogeneous Cauchy conditions. Hierarchies of specific non-linearities admitting this representation are derived. The nonlinear Greenu0027s function solution is numerically justified for the sinh-Gordon and Liouville equations. We also list two open problems leading to a more thorough characterizations of non-linearities admitting the obtained representation for the nonlinear Greenu0027s function. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1002/cmm4.1038 | Comput. Math. Methods |
DocType | Volume | Issue |
Journal | 1 | 4 |
ISSN | Citations | PageRank |
Comp. and Math. Methods. 2019;e1038 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marco Frasca | 1 | 38 | 9.72 |
| Asatur Zh. Khurshudyan | 2 | 0 | 0.68 |