We establish efficient conditions guaranteeing the existence of a solution of the periodic-type boundary-value problem for a 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 λ and 1/λ and other terms with relatively slow growth at infinity. The general results are reformulated in a special case of differential equations with maxima.
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Published in Neliniini Kolyvannya, Vol. 25, No. 1, pp. 119–132, January–March, 2022.
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Hakl, R., Trofimchuk, E. & Trofimchuk, S. Periodic-Type Solutions for Differential Equations with Positively Homogeneous Functionals. J Math Sci 274, 126–141 (2023). https://doi.org/10.1007/s10958-023-06575-y
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DOI: https://doi.org/10.1007/s10958-023-06575-y