The Stability of Some Differential Equations
We generalize the results obtained by Jun and Min (2009) and use fixed point method to obtain the stability of the functional equation f(x+σ(y))=F[f(x),f(y)], for a class of functions of a vector space into a Banach space where σ is an involution. Then we obtain the stability of the differential equ...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
|
| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/128479 |
| Summary: | We generalize the results obtained by Jun and Min (2009)
and use fixed point method to obtain the stability of the functional equation f(x+σ(y))=F[f(x),f(y)], for a class of functions of a vector space
into a Banach space where σ is an involution. Then we obtain the stability of the differential equations of the form y′=F[q(x),P(x)y(x)]. |
|---|---|
| ISSN: | 1024-123X 1563-5147 |