Periodic-type solutions for differential equations with positively homogeneous functionals

0574189 - MÚ 2024 RIV US eng J - Článek v odborném periodiku
Hakl, Robert - Trofimchuk, E. P. - Trofimchuk, S. I.
Periodic-type solutions for differential equations with positively homogeneous functionals.
Journal of Mathematical Sciences. Roč. 274, č. 1 (2023), s. 126-141. ISSN 1072-3374
Institucionální podpora: RVO:67985840
Klíčová slova: boundary-value problem * two-dimensional system * functional-differential equations
Obor OECD: Pure mathematics
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s10958-023-06575-y

We establish efficient conditions that guarantee the existence of a solution of the periodic-type boundary-value problem for the two-dimensional system of nonlinear functional-differential equations in the case where the right-hand side of the system is the sum of positively homogeneous terms of degrees \lambda and 1/\lambda and other terms with a relatively slow growth at infinity. The general results are reformulated in the special case of differential equations with maxima.
Trvalý link: https://hdl.handle.net/11104/0344538