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Comparison theorems and strong oscillation in the half-linear discrete oscillation theory

  1. 1. 0175394 - MU-W 20030148 RIV US eng J - Journal Article
    Řehák, Pavel
    Comparison theorems and strong oscillation in the half-linear discrete oscillation theory.
    Rocky Mountain Journal of Mathematics. Roč. 33, č. 1 (2003), s. 333-352. ISSN 0035-7596
    R&D Projects: GA ČR GA201/98/0677; GA ČR GA201/99/0295
    Institutional research plan: CEZ:AV0Z1019905; CEZ:AV0Z1019905
    Keywords : half-linear difference equation * comparison theorems * strong oscillation
    Subject RIV: BA - General Mathematics
    Impact factor: 0.187, year: 2003

    We give several various types of comparison theorems for half-linear difference equation (included the so-called telescoping principle) and also for an associated generalized Riccati difference equation. In the second part we present strongly (non)oscillation criteria and related results. The paper is finished by an example, where oscillatory properties of a generalized discrete Euler...
    Permanent Link: http://hdl.handle.net/11104/0072377
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