Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay

Journal of inequalities and applications

Erdal Korkmaz¹ 

关键词: stability;    boundedness;    Lyapunov functional;    delay differential equations;    fourth order;    square integrability;    34D20;    34C11;   

DOI  :  10.1186/s13660-017-1353-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY