By means of a recent Birkhoff-Kellogg type theorem, we discuss the solvability of a fairly general class of parameter-dependent fourth order retarded differential equations subject to functional boundary conditions. We seek solutions within a translate cone of nonnegative functions. We provide an example to illustrate our theoretical results.
On fourth order retarded equations with functional boundary conditions: A unified approach / Calamai, Alessandro; Infante, Gennaro. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 17:5&6(2024), pp. 2009-2020. [10.3934/dcdss.2023006]
On fourth order retarded equations with functional boundary conditions: A unified approach
Calamai, Alessandro;Infante, Gennaro
2024-01-01
Abstract
By means of a recent Birkhoff-Kellogg type theorem, we discuss the solvability of a fairly general class of parameter-dependent fourth order retarded differential equations subject to functional boundary conditions. We seek solutions within a translate cone of nonnegative functions. We provide an example to illustrate our theoretical results.File in questo prodotto:
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