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Annali di Matematica Pura ed Applicata

, Volume 89, Issue 1, pp 309–320 | Cite as

Asymptotic behaviour of a class of nonlinear Volterra integral equations

  • A. N. V. Rao
Article

Summary

Sufficient conditions are given under which the solutions of the integral equation
$$\sigma (t) = f(t,\sigma (t)) + \int\limits_0^t {G(t - u)\varphi (\sigma (u))} du$$
approach 0 as t → ∞. The condition imposed on the kernel is of the frequency type which admist a geometric interpretation.

Keywords

Integral Equation Asymptotic Behaviour Geometric Interpretation Frequency Type Equation Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Nicola Zanichelli Editore 1971

Authors and Affiliations

  • A. N. V. Rao
    • 1
  1. 1.USA

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