Generalized zeros and nonpositivity of energy functionals associated with half-linear even order difference equations
| Autoři | |
|---|---|
| Rok publikování | 2015 |
| Druh | Článek ve sborníku |
| Konference | Difference equations, discrete dynamical systems and applications |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://dx.doi.org/10.1007/978-3-319-24747-2_6 |
| Doi | http://dx.doi.org/10.1007/978-3-319-24747-2_6 |
| Obor | Obecná matematika |
| Klíčová slova | Generalized zero; energy functional; focal point; even order half-linear difference equation |
| Popis | We investigate the relationship between oscillatory properties of half-linear even order difference equations and nonpositivity of the associated energy functionals. We convert the investigated difference equation into a Hamiltonian type difference system and using this transformation we establish our main result which says that the existence of two (or more) generalized zeros of a solution of the investigated difference equation implies that the corresponding energy functional attains a nonpositive value. |
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