## Asymptotic behavior of solutions of Volterra integro-differential equations

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- by M. Rama Mohana Rao and P. Srinivas PDF
- Proc. Amer. Math. Soc.
**94**(1985), 55-60 Request permission

## Abstract:

The asymptotic behavior of solutions of Volterra integrodifferential equations of the form \[ x’(t) = A(t)x(t) + \int _0^t {K(t,s)} x(s)ds + F(t)\] is discussed in which $A$ is not necessarily a stable matrix. An equivalent equation which involves an arbitrary function is derived and a proper choice of this function would pave a way for the new coefficient matrix $B$ (corresponding $A$) to be stable.## References

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## Additional Information

- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**94**(1985), 55-60 - MSC: Primary 45J05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0781056-5
- MathSciNet review: 781056