Periodic-type solutions for differential equations with positively homogeneous functionals

0569865 - MÚ 2024 RIV UA eng J - Journal Article
Hakl, Robert - Trofimchuk, E. P. - Trofimchuk, S. I.
Periodic-type solutions for differential equations with positively homogeneous functionals.
Nonlinear Oscillations. Roč. 25, č. 1 (2022), s. 119-132. ISSN 1562-3076
Institutional support: RVO:67985840
Keywords : boundary-value problem * two-dimensional system * functional-differential equations
OECD category: Pure mathematics
Method of publishing: Limited access

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.
Permanent Link: https://hdl.handle.net/11104/0341205