Abstract
There exists a well-developed stability theory for integro-differential equations of the first order and only a few results on integro-differential equations of the second order. The aim of this paper is to fill up this gap. Explicit tests for uniform exponential stability of linear scalar delay integro-differential equations of the second order x¨(t) + Z g ( t t ) G(t, s)x (s)ds + Z h t (t) H(t, s)x(s)ds = 0 are obtained.
Original language | English |
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Pages (from-to) | 117-123 |
Number of pages | 7 |
Journal | Nonlinear Dynamics and Systems Theory |
Volume | 19 |
Issue number | 1 |
State | Published - 1 Jan 2019 |
Keywords
- A priory estimation
- Bohl-Perron theorem
- Exponential stability
- Second order delay integro-differential equations
ASJC Scopus subject areas
- Mathematical Physics
- Applied Mathematics