| Title | STABILITY OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS AND APPLICATIONS |
| Publication Type | Journal Article |
| Year of Publication | 2005 |
| Authors | Kamont, Z, Nadolski, A |
| Secondary Title | Communications in Applied Analysis |
| Volume | 9 |
| Issue | 2 |
| Start Page | 227 |
| Pagination | 246 |
| Date Published | 04/2005 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 35R10, 65M12 |
| Abstract | A theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type with an unknown function of one variable is presented. The error is estimated by a solution of an initial problem for nonlinear difference equation. This general result is applied to the investigation of the stability of the generalized Lax method for first order partial functional differential equations. Classical solutions of nonlinear problems are approximated in the paper by solutions of suitable quasilinear systems of difference equations. This new approach to the numerical solving of nonlinear equations is generated by a quasilinearization technique. Numerical examples are presented.
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| URL | http://www.acadsol.eu/en/articles/9/2/6.pdf |
| Short Title | Stability of Functional Difference Equations |
| Refereed Designation | Refereed |
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