Name
Title | ||
|---|---|---|
The pseudo-linear superposition principle for nonlinear partial differential equations and representation of their solution by the pseudo-integral |
Abstract | ||
|---|---|---|
In this paper, for a pseudo-linear partial differential equation of the nth order the pseudo-superposition principle is proved, which means that a pseudo-linear combination of solutions of the equation is again a solution of this equation. Especially, this principle is proved for some equations of the second order imposing weaker conditions. In addition, theorems giving the representation of the solution of Cauchy problem by pseudo-integral are obtained. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.fss.2005.05.014 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
pseudo-linear partial differential equation,pseudo-linear superposition principle,weaker condition,nth order,pseudo-superposition principle,nonlinear partial differential equation,cauchy problem,pseudo-linear combination,partial differential equation,δ,second order | Differential equation,Mathematical analysis,Separable partial differential equation,Linear differential equation,First-order partial differential equation,Elliptic partial differential equation,Partial differential equation,Mathematics,d'Alembert's formula,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
155 | 1 | Fuzzy Sets and Systems |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nebojša M. Ralević | 1 | 28 | 6.81 |
| Ljubo Nedovic | 2 | 10 | 2.76 |
| Tatjana Grbić | 3 | 34 | 7.11 |