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General decay rate for a class of weakly dissipative second‐order systems with memory
Author(s) -
Hassan Jamilu Hashim,
Messaoudi Salim A.
Publication year - 2019
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.5554
Subject(s) - dissipative system , mathematics , class (philosophy) , order (exchange) , relaxation (psychology) , kernel (algebra) , function (biology) , pure mathematics , mathematical analysis , computer science , physics , quantum mechanics , artificial intelligence , psychology , social psychology , finance , evolutionary biology , economics , biology
In this paper, we study an abstract class of weakly dissipative second‐order systems with finite memory. We establish a new general decay rate for the solution of the system under some appropriate conditions on the memory kernel (relaxation function). Our result improves and generalizes many existing results in the literature. We also give some examples to illustrate our abstract result.