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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/308362 |
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| _version_ | 1832545393585422336 |
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| author | Jianye Xia Yuji Liu |
| author_facet | Jianye Xia Yuji Liu |
| author_sort | Jianye Xia |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b610f7b40e544f639c6b92d7991312ec |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b610f7b40e544f639c6b92d7991312ec2025-02-03T07:25:57ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/308362308362Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference EquationsJianye Xia0Yuji Liu1Department of Applied Mathematics, Guangdong University of Finance, Guangzhou 510000, ChinaDepartment of Mathematics, Guangdong University of Business Studies, Guangzhou 510000, ChinaThis 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.http://dx.doi.org/10.1155/2011/308362 |
| spellingShingle | Jianye Xia Yuji Liu Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations Discrete Dynamics in Nature and Society |
| title | Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations |
| title_full | Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations |
| title_fullStr | Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations |
| title_full_unstemmed | Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations |
| title_short | Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations |
| title_sort | solvability of a class of generalized neumann boundary value problems for second order nonlinear difference equations |
| url | http://dx.doi.org/10.1155/2011/308362 |
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