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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Ediţia nr.1 din 2020 | |||||||
Articol: |
INTEGRODIFFERENTIAL EVOLUTION SYSTEMS WITH NONLOCAL INITIAL CONDITIONS. Autori: SYLVAIN KOUMLA, RADU PRECUP. |
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Rezumat: DOI: 10.24193/subbmath.2020.1.08 Published Online: 2020-03-06 Published Print: 2020-03-30 pp. 93-108 VIEW PDF: FULL PDF ABSTRACT:The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on matrices, vector-valued norms and a vector version of Krasnoselskii''s fixed point theorem for a sum of two operators. The assumptions take into account the support of the nonlocal initial conditions and the hybrid character of the system. Two examples are given to illustrate the theory. Key words: integrodifferential equation; nonlinear evolution equation; nonlocal initial condition. |
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