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Bounded solutions of nonlinear discrete Volterra equations

In: Mathematica Slovaca, vol. 66, no. 5
Małgorzata Migda - Janusz Migda

Details:

Year, pages: 2016, 1169 - 1178
Keywords:
Volterra difference equation, bounded solution, convergent solution, asymptotically periodic solution
About article:
We give sufficient conditions, under which for every real constant, there exists a solution of the nonlinear discrete Volterra equation

$$ Δ x(n) = b(n) + ∑i=0nK(n,i)f(x(i)), $$

convergent to this constant. We give also conditions under which all solutions are asymptotically constant. Sufficient conditions for the existence of asymptotically periodic solutions of the above equation are also derived.
How to cite:
ISO 690:
Migda, M., Migda, J. 2016. Bounded solutions of nonlinear discrete Volterra equations. In Mathematica Slovaca, vol. 66, no.5, pp. 1169-1178. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0212

APA:
Migda, M., Migda, J. (2016). Bounded solutions of nonlinear discrete Volterra equations. Mathematica Slovaca, 66(5), 1169-1178. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0212
About edition:
Published: 1. 10. 2016