VESELÝ, Michal a Petr HASIL. Oscillation constants for half-linear difference equations with coefficients having mean values. Advances in Difference Equations. Springer, 2015, roč. 2015, July, s. "nestránkováno", 18 s. ISSN 1687-1847. Dostupné z: https://dx.doi.org/10.1186/s13662-015-0544-1. |
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@article{1305870, author = {Veselý, Michal and Hasil, Petr}, article_number = {July}, doi = {http://dx.doi.org/10.1186/s13662-015-0544-1}, keywords = {half-linear difference equation; oscillation theory; conditional oscillation; oscillation constant; Euler equation; Riccati technique}, language = {eng}, issn = {1687-1847}, journal = {Advances in Difference Equations}, title = {Oscillation constants for half-linear difference equations with coefficients having mean values}, url = {http://www.advancesindifferenceequations.com/content/2015/1/210}, volume = {2015}, year = {2015} }
TY - JOUR ID - 1305870 AU - Veselý, Michal - Hasil, Petr PY - 2015 TI - Oscillation constants for half-linear difference equations with coefficients having mean values JF - Advances in Difference Equations VL - 2015 IS - July SP - "nestránkováno" EP - "nestránkováno" PB - Springer SN - 16871847 KW - half-linear difference equation KW - oscillation theory KW - conditional oscillation KW - oscillation constant KW - Euler equation KW - Riccati technique UR - http://www.advancesindifferenceequations.com/content/2015/1/210 N2 - We investigate second order half-linear Euler type difference equations whose coefficients have mean values. We show that these equations are conditionally oscillatory and we explicitly identify the corresponding oscillation constants given by the coefficients. Our results generalize the known ones concerning equations with positive constant, periodic, or (asymptotically) almost periodic coefficients. We also demonstrate the obtained results on examples and we give corollaries. In particular, we get new results even for linear difference equations. ER -
VESELÝ, Michal a Petr HASIL. Oscillation constants for half-linear difference equations with coefficients having mean values. \textit{Advances in Difference Equations}. Springer, 2015, roč.~2015, July, s.~''nestránkováno'', 18 s. ISSN~1687-1847. Dostupné z: https://dx.doi.org/10.1186/s13662-015-0544-1.
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