Number of the records: 1
A role of the coefficient of the differential term in qualitative theory of half-linear equations
- 1.
SYSNO ASEP 0343477 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title A role of the coefficient of the differential term in qualitative theory of half-linear equations Author(s) Řehák, Pavel (MU-W) RID, SAI, ORCID Source Title Mathematica Bohemica. - : Matematický ústav AV ČR, v. v. i. - ISSN 0862-7959
Roč. 135, č. 2 (2010), s. 151-162Number of pages 12 s. Language eng - English Country CZ - Czech Republic Keywords half-linear dynamic equation ; time scale ; transformation ; comparison theorem ; oscillation criteria Subject RIV BA - General Mathematics R&D Projects KJB100190701 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation The aim of this contribution is to study the role of the coefficient r at the differential term in the qualitative theory of the half-linear dynamic equation. we discuss sign and smoothness conditions posed on r, (non)availability of some transformations, and mainly we show how the behavior of r, along with the behavior of the graininess of the time scale, affect some comparison results and (non)oscillation criteria. At the same time we provide a survey of recent results acquired by sophisicated modifications of the Riccati type technique, which are supplemented by some new observations. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
Number of the records: 1