Nonpositive solutions to a certain functional differential inequality

• Published in: Нелінійні коливання
• Date: 2009
• Main Authors: Lomtatidze, A., Opluštil, Z., Šremr, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178417
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nonpositive solutions to a certain functional differential inequality / A. Lomtatidze, Z. Opluštil, J. Šremr // Нелінійні коливання. — 2009. — Т. 12, № 4. — С. 461-494. — Бібліогр.: 18 назв. — англ.

In the paper, efficient conditions are found guaranteeing that every solution to the problem
 u'(t) ≥ ι(u)(t), u(a) ≥ h(u)
 is nonpositive, where ι : C([a, b]; R) → L([a, b]; R) and h : C([a, b]; R) → R are linear bounded operators. The results obtained are very useful for the i...