Invariants and oscillation for systems of two nonlinear difference equations
โ Scribed by G. Papaschinopoulos; C.J. Schinas
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 103 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Several new oscillation criteria for two-dimensional nonlinear difference systems are established. Examples which dwell upon the importance of our results are also included.
has presented some invariants for difference equations and systems of difference equations of rational ลฝ . form with constant and periodic coefficients of certain period . We report that the presented invariants as well as their difference equations can be generalized.
Ymn, {amn} and {bran} are real sequences, m, n E No, and f, g: R --+ R are continuous with uf(u) > 0 and up(u) > 0 for all u โข 0. A solution ({xm~},{y,~,~}) of this system is oscillatory if both components are oscillatory. Some sufficient conditions are derived for all solutions of this system to be
Some Riccati type difference inequalities are given for the second-order nonlinear difference equations with nonlinear neutral term A(anA(Xn -4-~(vt, xr,.))) + qnf(xg,.) = 0 and using these inequalities, we obtain some oscillation criteria for the above equation. (~) 2001 Elsevier Science Ltd. All r
construct an important transform to obtain sufficient conditions for the oscillation of all solutions of the delay partial difference equations with positive and negative coefficients of the form wf (m>% Am-o+-,, An-w-,,