The periodic problem for the second order integro-differential equations with distributed deviation

0542593 - MÚ 2022 RIV CZ eng J - Článek v odborném periodiku
Mukhigulashvili, Sulkhan - Novotná, V.
The periodic problem for the second order integro-differential equations with distributed deviation.
Mathematica Bohemica. Roč. 146, č. 2 (2021), s. 167-183. ISSN 0862-7959
Institucionální podpora: RVO:67985840
Klíčová slova: linear integro-differential equation * periodic problem * distributed deviation * solvability
Obor OECD: Applied mathematics
Způsob publikování: Open access
https://doi.org/10.21136/MB.2020.0061-19

We study the question of the unique solvability of the periodic type problem for the second order linear integro-differential equation with distributed argument deviation $u''(t)=p_0(t)u(t)+int_0^{omega}p(t,s)u(tau(t,s)) {rm d}s+ q(t)$, and on the basis of the obtained results by the a priori boundedness principle we prove the new results on the solvability of periodic type problem for the second order nonlinear functional differential equations, which are close to the linear integro-differential equations. The proved results are optimal in some sense.
Trvalý link: http://hdl.handle.net/11104/0319979