DOŠLÝ, Ondřej a Vojtěch RŮŽIČKA. Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations. Electron. J. Diff. Equations. State University and the University of North Texas, 2016, roč. 2016, April, s. "nestrankovano", 17 s. ISSN 1072-6691. |
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@article{1343796, author = {Došlý, Ondřej and Růžička, Vojtěch}, article_number = {April}, keywords = {even-order half-linear differential equation; energy functional; nonoscillation; Wirtinger inequality}, language = {eng}, issn = {1072-6691}, journal = {Electron. J. Diff. Equations}, title = {Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations}, url = {http://ejde.math.txstate.edu/}, volume = {2016}, year = {2016} }
TY - JOUR ID - 1343796 AU - Došlý, Ondřej - Růžička, Vojtěch PY - 2016 TI - Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations JF - Electron. J. Diff. Equations VL - 2016 IS - April SP - "nestrankovano" EP - "nestrankovano" PB - State University and the University of North Texas SN - 10726691 KW - even-order half-linear differential equation KW - energy functional KW - nonoscillation KW - Wirtinger inequality UR - http://ejde.math.txstate.edu/ L2 - http://ejde.math.txstate.edu/ N2 - We investigate oscillatory properties of even-order half-linear differential equations and conditions for negativity of the associated energy functional. First, using the relationship between positivity of the functional and nonoscillation of the investigated equation, we prove Hille-Nehari type nonoscillation criteria which extend criteria known in the linear case. In the second part of the paper, we present conditions which guarantee that the energy functional attains a negative value, i.e., it is unbounded below. ER -
DOŠLÝ, Ondřej a Vojtěch RŮŽIČKA. Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations. \textit{Electron. J. Diff. Equations}. State University and the University of North Texas, 2016, roč.~2016, April, s.~''nestrankovano'', 17 s. ISSN~1072-6691.
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