0602519 20250317083804.020241209235959.9 85213301362 001371821400002 10.1515/ms-2024-0109 18 s. P cav_un_epca*02938740139-9918746 (2024)1507-1524Walter de Gruyter Ordinary differential equations evolution equations hereditary phenomena cav_un_auth*0478316 Chiriatti G. IT cav_un_auth*0478317 Fasiello M. IT cav_un_auth*0478318 Grande Raffaele UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI IT K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0478332 Pascali E. IT https://library.utia.cas.cz/separaty/2024/SI/grande-0602519.pdf https://www.degruyter.com/document/doi/10.1515/ms-2024-0109/html GA24-10366S GA ČR CZ cav_un_auth*0472839 In this note, we study three differential problems with a dynamic, which are be represented by a self referred equation and a boundary condition, which are expressed as an integral constraint. We prove that under certain assumptions, there exists at least one solution of for all of these problems by using Schauder’s fixed point theorem. In the end, we propose briefly some open problems. WOS BA 10000 10100 10101 2025 RVO:67985556 https://hdl.handle.net/11104/0359718 S C MATHEMATICS 0.9 0.2 7.3 0.00137 0.304 1163 31 0.444 22.58 0.94 319 Q2 0.800 113 Q2 67.6 0.85 Q1 67.6 2024 85213301362 SCOPUS PUBMED 001371821400002 WOS cav_un_epca*0293874 Mathematica Slovaca Roč. 74 č. 6 2024 1507 1524 0139-9918 1337-2211 Walter de Gruyter