Stability and square integrability of derivatives of solutions of nonlinear
fourth order differential equations with delay.
JOURNAL OF INEQUALITIES AND APPLICATIONS 2017;
2017:134. [PMID:
28680237 PMCID:
PMC5487950 DOI:
10.1186/s13660-017-1353-8]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/27/2016] [Accepted: 04/04/2017] [Indexed: 06/07/2023]
Abstract
In this paper, we give sufficient conditions for the boundedness, uniform asymptotic stability and square integrability of the solutions to a certain fourth order non-autonomous differential equations with delay by using Lyapunov's second method. The results obtained essentially improve, include and complement the results in the literature.
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