Monotone Method for Second Order Periodic Boundary Value Problems and Periodic Solutions of Delay Difference Equations

References

• Agarwal , R.P. 1992 . Difference Equations and Inequalities , New York : Marcel Dekker .
   Google Scholar
• Cabada , A. and Otero-Espinar , V. 2000 . Optimal existence results for nth order periodic boundary value difference equations . J. Math. Anal. Appl. , 247 : 67 – 86 .
   Web of Science ®Google Scholar
• Haddock , J.R. and Nkashama , M.N. 1994 . Periodic boundary value problems, and monotone iterative methods for functional differential equations . Nonlinear Anal. , 22 : 267 – 276 .
   Web of Science ®Google Scholar
• Jiang , D. and Wei , J. 2002 . Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations . Nonlinear Analysis , 50 : 885 – 898 .
   Web of Science ®Google Scholar
• Nieto , J.J. , Jiang , Y. and Jurang , Y. 1998 . Monotone iterative method for functional differential equations . Nonlinear Anal. , 32 : 741 – 747 .
   Web of Science ®Google Scholar
• Nieto , J.J. and Rodrguez-Lopez , R. 2000 . Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions . Comput. Math. Appl. , 40 : 433 – 442 .
   Web of Science ®Google Scholar
• Ladde , G.S. , Lakshmikantham , V. and Vatsala , A.S. 1985 . Monotone iterative techniques for nonlinear differential equations , Pitman, London : Pitman Advanced Publishing Program .
   Google Scholar
• Lakshmikantham , V. and Trigante , D. 1988 . Theory of difference equations: numerical methods and applications. Mathematics in Science and Engineering , Vol. 181 , Bostan , MA : Academic Press .
   Google Scholar
• Leela , S. and Oguztoreli , M.N. 1987 . Periodic boundary value problems for differential equations with delay and monotone iterative methods . J. Math. Anal. Appl. , 122 : 301 – 307 .
   Web of Science ®Google Scholar
• Liz , E. and Nieto , J.J. 1996 . Periodic boundary value problems for a class of functional differential equations . J. Math. Anal. Appl. , 200 : 680 – 686 .
   Web of Science ®Google Scholar
• Zhuang , W. , Chen , Y. and Cheng , S.S. 1996 . Monotone methods for a discrete boundary value problems . Comput. Math. Appl , 32 : 41 – 49 .
   Web of Science ®Google Scholar
• Pang , Y.H. and Agarwal , R.P. 1992 . Periodic boundary value problems for first and second order discrete systems . Mathl. Comput. Modelling. , 16 : 101 – 112 .
   Web of Science ®Google Scholar
• Pang , Y.H. and Agarwal , R.P. 1994 . Monotone iterative methods for a general class of discrete boundary value problems . Computers Math. Applic. , 28 : 243 – 254 .
   Web of Science ®Google Scholar
• Wang , Y.M. 1998 . Monotone methods for a boundary value problem of second discrete equations . Computers Math. Applic. , 36 : 77 – 92 .
   Web of Science ®Google Scholar
• Wang , Y.M. 1998 . Monotone enclosure for a class of discrete boundary value problems without monotone nonlinearities . Computers Math. Applic. , 35 : 51 – 60 .
   Web of Science ®Google Scholar
• Wang , Y.M. and Agarwal , R.P. 2000 . Remarks on periodic boundary value problems of first order discrete systems . Intern. J. Computer Math. , 73 : 493 – 502 .
   Web of Science ®Google Scholar