TY - JOUR
T1 - Stability for linear second order vector integro-differential equations
AU - Berezansky, Leonid
AU - Domoshnitsky, Alexander
N1 - Publisher Copyright:
© 2025
PY - 2025/8
Y1 - 2025/8
N2 - Explicit sufficient conditions for uniform exponential stability of two-dimensional linear vector integro-differential equations have been established. These criteria are novel and remain valid even in the special case of second-order linear ordinary vector differential equations. The proofs leverage the Bohl–Perron theorem, incorporate a priori estimates of solutions. An illustrative example is provided to demonstrate the applicability of the results.
AB - Explicit sufficient conditions for uniform exponential stability of two-dimensional linear vector integro-differential equations have been established. These criteria are novel and remain valid even in the special case of second-order linear ordinary vector differential equations. The proofs leverage the Bohl–Perron theorem, incorporate a priori estimates of solutions. An illustrative example is provided to demonstrate the applicability of the results.
KW - Bohl–Perron theorem
KW - Integro-differential equations of the second order
KW - Method of a priori estimation
KW - Uniform exponential stability
UR - https://www.scopus.com/pages/publications/105015468350
U2 - 10.1016/j.rinam.2025.100634
DO - 10.1016/j.rinam.2025.100634
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AN - SCOPUS:105015468350
SN - 2590-0374
VL - 27
JO - Results in Applied Mathematics
JF - Results in Applied Mathematics
M1 - 100634
ER -