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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_21136_MB_2001_133922,
     author = {Thandapani, E. and Ravi, K.},
     title = {On the oscillation of {Volterra} summation equations},
     journal = {Mathematica Bohemica},
     pages = {41--52},
     publisher = {mathdoc},
     volume = {126},
     number = {1},
     year = {2001},
     doi = {10.21136/MB.2001.133922},
     mrnumber = {1825856},
     zbl = {0982.39005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133922/}
}
TY  - JOUR
AU  - Thandapani, E.
AU  - Ravi, K.
TI  - On the oscillation of Volterra summation equations
JO  - Mathematica Bohemica
PY  - 2001
SP  - 41
EP  - 52
VL  - 126
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133922/
DO  - 10.21136/MB.2001.133922
LA  - en
ID  - 10_21136_MB_2001_133922
ER  - 
%0 Journal Article
%A Thandapani, E.
%A Ravi, K.
%T On the oscillation of Volterra summation equations
%J Mathematica Bohemica
%D 2001
%P 41-52
%V 126
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133922/
%R 10.21136/MB.2001.133922
%G en
%F 10_21136_MB_2001_133922
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

Cité par Sources :