Publicación:
On almost automorphic type solutions of abstract integral equations, a Bohr-Neugebauer type property and some applications
On almost automorphic type solutions of abstract integral equations, a Bohr-Neugebauer type property and some applications
| dc.contributor.author | Chávez A. | es_PE |
| dc.contributor.author | Pinto M. | es_PE |
| dc.contributor.author | Zavaleta U. | es_PE |
| dc.date.accessioned | 2024-05-30T23:13:38Z | |
| dc.date.available | 2024-05-30T23:13:38Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In the present work we give some sufficient conditions to obtain a unique almost automorphic solution to abstract nonlinear integral equations which are simultaneously of advanced and delayed type and also a unique asymptotically almost automorphic mild solution to abstract integro-differential equations with nonlocal initial conditions, both situations are posed on Banach spaces. Also, we develop a Bohr-Neugebauer type result for the abstract integral equations. Before that, we introduce the notion of ?-bounded functions, develop the appropriate abstract theory and discuss the almost periodic situation. As applications, we study the existence of an asymptotically almost automorphic solution to integro-differential equations modeling heat conduction in materials with memory and also the existence of the almost automorphic solution to semilinear parabolic evolution equations with finite delay. © 2020 Elsevier Inc. | |
| dc.description.sponsorship | Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - Concytec | |
| dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2020.124395 | |
| dc.identifier.scopus | 2-s2.0-85089247224 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12390/2395 | |
| dc.language.iso | eng | |
| dc.publisher | Academic Press Inc. | |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Mild solutions | |
| dc.subject | Abstract integral equations | es_PE |
| dc.subject | Almost automorphic functions | es_PE |
| dc.subject | Asymptotically almost automorphic functions | es_PE |
| dc.subject | Bohr-Neugebauer property | es_PE |
| dc.subject.ocde | http://purl.org/pe-repo/ocde/ford#1.01.01 | |
| dc.title | On almost automorphic type solutions of abstract integral equations, a Bohr-Neugebauer type property and some applications | |
| dc.type | info:eu-repo/semantics/article | |
| dspace.entity.type | Publication |