Sign-Changing Solutions for Discrete Dirichlet Boundary Value Problem - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.11, November 2017

Journal of Applied Mathematics and Physics

Volume 5, Issue 11 (November 2017)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

Sign-Changing Solutions for Discrete Dirichlet Boundary Value Problem ()

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DOI: 10.4236/jamp.2017.511182 716 Downloads 1,431 Views Citations

Author(s)

Yuhua Long, Baoling Zeng

Affiliation(s)

School of Mathematics and Information Science, Guangzhou University, Guangzhou, China.

ABSTRACT

Using invariant sets of descending flow and variational methods, we establish some sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions for second-order nonlinear difference equations with Dirichlet boundary value problem. Some results in the literature are improved.

KEYWORDS

Sign-Changing Solution, Difference Equation, Dirichlet Boundary Value Problem, Invariant Sets of Descending Flow

Share and Cite:

Long, Y. and Zeng, B. (2017) Sign-Changing Solutions for Discrete Dirichlet Boundary Value Problem. Journal of Applied Mathematics and Physics, 5, 2228-2243. doi: 10.4236/jamp.2017.511182.

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