On oscillations of solutions to second-order linear delay differential equations

0391352 - MÚ 2014 RIV GE eng J - Článek v odborném periodiku
Opluštil, Z. - Šremr, Jiří
On oscillations of solutions to second-order linear delay differential equations.
Georgian Mathematical Journal. Roč. 20, č. 1 (2013), s. 65-94. ISSN 1072-947X. E-ISSN 1572-9176
Institucionální podpora: RVO:67985840
Klíčová slova: linear second-order delay differential equation * oscillatory solution
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.340, rok: 2013
http://www.degruyter.com/view/j/gmj.2013.20.issue-1/gmj-2013-0001/gmj-2013-0001.xml?format=INT

New oscillation criteria are proved for second-order two-term linear delay differential equations with locally integrable coefficients and measurable delays. In particular, a suitable a priori lower bound of non-oscillatory solutions is found, which plays a crucial role in the proofs of the results obtained.
Trvalý link: http://hdl.handle.net/11104/0220439