Open AccessTHE METHOD OF LOWER AND UPPER SOLUTIONS FOR DAMPED ELASTIC SYSTEMS IN BANACH SPACES
Author(s) -
Haide Gou,
Yongxiang Li
Publication year - 2020
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/20180267
Subject(s) - mathematics , banach space , semigroup , upper and lower bounds , mathematical analysis , equicontinuity , pure mathematics
In this paper, we are concerned with the initial value problem of a class of damped elastic systems in an order Banach spaces E. By employing the method of lower and upper solutions, we discuss the existence of extremal mild solutions between lower and upper mild solutions for such problem with the associated semigroup is equicontinuous. In addition, two examples are given to illustrate our results.
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