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An evolution equation with non‐local non‐linearities: Existence, uniqueness and asymptotic behaviour
Author(s) -
Miletta Peter D.
Publication year - 1988
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670100406
Subject(s) - uniqueness , mathematics , initial value problem , evolution equation , mathematical analysis
An evolution equation with non‐linearities of non‐local type is investigated. Under various hypotheses on the non‐linearities global existence and uniqueness of solutions to initial value problems is shown. Moreover the asymptotic behaviour of the solutions is determined by topological dynamics methods.