Exponential solutions of equation y(t)=β(t)[y(t-δ)-y(t-τ)]

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:294

Article

Diblík, J ; Ruzicková, M

关键词: discrete delay;    two deviating arguments;    exponential solution;    unbounded solution;   

DOI  :  10.1016/j.jmaa.2004.02.036

来源: Elsevier

【 摘 要 】

Asymptotic behaviour of solutions of first-order differential equation with two deviating arguments of the form y(t) = beta(t) [y(t-delta) - y(t-tau)] is discussed for t --> infinity. A criterion for representing solutions in exponential form is proved. As consequences, inequalities for such solutions are given. Connections with known results are discussed and a sufficient condition for existence of unbounded solutions, generalizing previous ones, is derived. An illustrative example is considered, too. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

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