On the oscillation of Volterra summation equations
Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 41-52

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MR Zbl
The asymptotic and oscillatory behavior of solutions of Volterra summation equations \[ y_{n}=p_{n} \pm \sum _{s=0}^{n-1}K(n,s)f(s,y_{s}), \ n\in \mathbb{N} \] where $\mathbb{N}=\lbrace 0,1,2,\dots \rbrace $, are studied. Examples are included to illustrate the results.
The asymptotic and oscillatory behavior of solutions of Volterra summation equations \[ y_{n}=p_{n} \pm \sum _{s=0}^{n-1}K(n,s)f(s,y_{s}), \ n\in \mathbb{N} \] where $\mathbb{N}=\lbrace 0,1,2,\dots \rbrace $, are studied. Examples are included to illustrate the results.
DOI : 10.21136/MB.2001.133922
Classification : 39A10, 39A11
Keywords: Volterra summation equations; oscillation; asymptotic behavior
Thandapani, E.; Ravi, K. On the oscillation of Volterra summation equations. Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 41-52. doi: 10.21136/MB.2001.133922
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