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Motivated by [Science in China (Ser. A Mathematics) 36(2006), no. 7, 721–732], this article deals with the following discrete type [수식]The sufficient conditions to guarantee the existence of at least three positive solutions of the above multi-point boundary value problem are established by using a new fixed point theorem obtained in [5]. An example is presented to illustrate the main result. It is the purpose of this paper to show that the approach to get positive solutions of BVPs by using multifixed-point theorems can be extended to treat nonhomogeneous BVPs.
The emphasis is put on the nonlinear term f involved with the first order delta operator △x(n).
목차
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참고문헌 (18)
참고문헌 신청
C. Yang / 2007 / Green functions and positive solutions for boundary value problems of third-order difference equations / Comput. Math. Appl. 54 (4) : 567 ~ 578
D. Anderson / 2001 / Multiple positive solutions to a third-order discrete focal boundary value problem / Comput. Math. Appl. 42 (3) : 333 ~ 340
D. Anderson / 2003 / Discrete third-order three-point right-focal boundary value problems, Advances in difference equations, IV / Comput. Math. Appl. 45 (6) : 861 ~ 871
G. Zhang / 2004 / Three-point boundary value problems for difference equations / Comput. Math. Appl. 48 (12) : 1791 ~ 1799
H. Pang / 2008 / Multiple positive solutions of quasi-linear boundary value problems for finite difference equations / Appl. Math. Comput. 197 (1) : 451 ~ 456
D. Anderson / 2001 / Multiple positive solutions to a third-order discrete focal boundary value problem / Comput. Math. Appl. 42 (3) : 333 ~ 340
D. Anderson / 2003 / Discrete third-order three-point right-focal boundary value problems, Advances in difference equations, IV / Comput. Math. Appl. 45 (6) : 861 ~ 871
G. Zhang / 2004 / Three-point boundary value problems for difference equations / Comput. Math. Appl. 48 (12) : 1791 ~ 1799
H. Pang / 2008 / Multiple positive solutions of quasi-linear boundary value problems for finite difference equations / Appl. Math. Comput. 197 (1) : 451 ~ 456
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