Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations

Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations

This paper is motivated by Rachnkovab and Tisdell (2006) and Anderson et al. (2007). New sufficient conditions for the existence of at least one solution of the generalized Neumann boundary value problems for second order nonlinear difference equations ∇Δx(k)=f(k,x(k),x(k+1)), k∈[1,n−1], x(0)=ax(1),...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2011-01, Vol.2011 (2011), p.341-351
Hauptverfasser: Xia, Jianye, Liu, Yuji
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Difference equations
Differential equations, Nonlinear
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Zusammenfassung:This paper is motivated by Rachnkovab and Tisdell (2006) and Anderson et al. (2007). New sufficient conditions for the existence of at least one solution of the generalized Neumann boundary value problems for second order nonlinear difference equations ∇Δx(k)=f(k,x(k),x(k+1)), k∈[1,n−1], x(0)=ax(1), x(n)=bx(n−1), are established.
ISSN:1026-0226
1607-887X
DOI:10.1155/2011/308362