2
Department of Mathematics, Changwon National University
3
Gyeongsang National University
Abstract
In this paper we consider the second order nonlinear neutral delay partial difference equation $\Delta_n\Delta_m\big(x_{m,n}+a_{m,n}x_{m-k,n-l}\big)+ f\big(m,n,x_{m-\tau,n-\sigma}\big)=b_{m,n}, m\geq m_{0},\, n\geq n_{0}.$ Under suitable conditions, by making use of the Banach fixed point theorem, we show the existence of uncountably many bounded positive solutions for the above partial difference equation. Three nontrivial examples are given to illustrate the advantages of our results.
Liu, Z., Wu, Z., Ume, J. S., & Kang, S. M. (2015). Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation. Bulletin of the Iranian Mathematical Society, 41(2), 389-405.
MLA
Liu, Z., Wu, Z., Ume, J. S., & Kang, S. M. "Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation", Bulletin of the Iranian Mathematical Society, 41, 2, 2015, 389-405.
HARVARD
Liu Z., Wu Z., Ume J. S., Kang S. M. (2015). 'Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation', Bulletin of the Iranian Mathematical Society, 41(2), pp. 389-405.
CHICAGO
Z. Liu, Z. Wu, J. S. Ume & S. M. Kang, "Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation," Bulletin of the Iranian Mathematical Society, 41 2 (2015): 389-405,
VANCOUVER
Liu Z., Wu Z., Ume J. S., Kang S. M. Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation. BIMS. 2015;41(2):389-405.
