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Zbl 1129.34050
Dibl\'ik, J.; R\uužičková, M.
Asymptotic behavior of solutions and positive solutions of differential delayed equations.
(English)
[J] Funct. Differ. Equ. 14, No. 1, 83-105 (2007). ISSN 0793-1786

By employing an implicit integral inequality, the authors establish an existence criterion for positive solutions of the following linear delayed differential equation $$y'(t)=-\sum_{i=1}^{m}c_i(t)y(t-r_i(t))-d(t).$$ Structure formulas for solutions of this equation and its corresponding homogeneous equation are also discussed.
[Qiru Wang (Guangzhou)]
MSC 2000:
*34K25 Asymptotic theory of functional-differential equations
34K06 Linear functional-differential equations

Keywords: linear delayed differential equations; positive solutions; structure formulas

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