References
- Agarwal , R.P. 2000 . Difference Equations and Inequalities. Theory, Methods and Applications , 2nd ed. , New York : Marcel Dekker . Revised and expanded
- Agarwal , R.P. and O'Regan , D. 1999 . Singular discrete boundary value problems . Applied Mathematics Letters , 12 : 127 – 131 .
- Agarwal , R.P. and O'Regan , D. 1998 . Difference equations in abstract spaces . Journal of the Australian Mathematical Society (Series A) , 64 : 277 – 284 .
- Agarwal , R.P. and O'Regan , D. 2000 . Nonpositone discrete boundary value problems . Nonlinear Analysis , 39 : 207 – 215 .
- Agarwal , R.P. , O'Regan , D. and Wong , P.J.Y. 1999 . Positive Solutions of Differential, Difference and Integral Equations , Dordrecht : Kluwer .
- Agarwal , R.P. and Wong , P.J.Y. 1997 . Advanced Topics in Difference Equations , Dordrecht : Kluwer .
- Anderson , N. and Arthurs , A.M. 1985 . A class of second-order nonlinear difference equations. I: Extremum principles and approximation of solutions . Journal of Mathematical Analysis and Applications , 110 : 212 – 221 .
- Atici , F.M. , Cabada , A. and Otero-Espinar , V. 2003 . Criteria for existence and nonexistence of positive solutions to a discrete periodic boundary value problem . Journal of Differential Equations and Applications , 9 : 765 – 775 .
- Atici , F.M. and Guseinov , G.SH . 1999 . Positive periodic solutions for nonlinear difference equations with periodic coefficients . Journal of Mathematical Analysis and Applications , 232 : 166 – 182 .
- Avery , R.I. 1998 . Three positive solutions of a discrete second order conjugate problem . PanAmerican Mathematical Journal , 8 : 79 – 96 .
- Bereanu , C. and Mawhin , J. Existence and multiplicity results for nonlinear second order difference equations with Dirichlet boundary conditions . Mathematica Bohemica , to appear
- Cabada , A. and Otero-Espinar , V. 2002 . Existence and comparison results for difference φ-Laplacian boundary value problems with lower and upper solutions in reverse order . Journal of Mathematical Analysis and Applications , 267 : 501 – 521 .
- Cahn , J.W. , Chow , S.N. and Van Vleck , E.S. 1995 . Spatially discrete nonlinear diffusion equations . Rocky Mountain Journal of Mathematical , 25 : 87 – 118 .
- Dannan , F. , Elaydi , S. and Liu , P. 2000 . Periodic solutions to difference equations . Journal of Differential Equations and Applications , 6 : 203 – 232 .
- He , Z. 2003 . On the existence of positive solutions of p-Laplacian difference equations . Journal of Computational and Applied Mathematics , 161 : 193 – 201 .
- Henderson , J. and Thompson , H.B. 2001 . Difference equations associated with fully nonlinear boundary value problems for second order ordinary differential equations . Journal of Differential Equations and Applications , 7 : 297 – 321 .
- Kelley , W.G. and Peterson , A.C. 2001 . Difference Equations. An Introduction with Applications , 2nd ed. , San Diego : Academic Press .
- Li , Y. 2006 . The existence of solutions for second-order difference equations . Journal of Differential Equations and Applications , 12 : 209 – 212 .
- Ma , R. and Reffoul , Y.N. 2004 . Positive solutions of three-point nonlinear discrete second order boundary value problem . Journal of Differential Equations and Applications , 10 : 129 – 138 .
- Mawhin , J. , Thompson , H.B. and Tonkes , E. 2004 . Uniqueness for boundary value problems for second order finite difference equations . Journal of Differential Equations and Applications , 10 : 749 – 757 .
- Rachůnková , I. and Rachůnek , L. Singular discrete second order BVPs with p-Laplacian . Journal of Differential Equations and Applications , to appear
- Rachůnková , I. and Tisdell , C. Existence of non-spurious solutions to discrete boundary value problems . Australian Journal of Mathematical Analysis and Applications , to appear
- Thompson , H.B. and Tisdell , C. 2002 . Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations . Applied Mathematics Letters , 15 : 761 – 766 .
- Thompson , H.B. and Tisdell , C. 2003 . The nonexistence of spurious solutions to discrete, two-point boundary value problems . Applied Mathematics Letters , 16 : 79 – 84 .
- Wang , Y.-M. 1998 . Monotone methods for a boundary value problem of second-order discrete equation . Computers and Mathematics with Applications , 36 : 77 – 92 .
- Zhang , L. and Jiang , D. 2003 . Monotone method for second order periodic boundary value problems and periodic solutions of delay difference equations . Applied Analysis , 82 : 215 – 229 .
- Zimmer , B. 1991 . Stability of travelling wavefronts for the discrete Nagumo equation . SIAM Journal of Mathematical Analysis , 22 : 1016 – 1020 .