Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems
<p/> <p>By using critical point theory, Lyapunov-Schmidt reduction method, and characterization of the Brouwer degree of critical points, sufficient conditions to guarantee the existence of five or six solutions together with their sign properties to discrete second-order two-point bound...
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| Format: | Article |
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SpringerOpen
2011-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2011/172818 |
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Article |
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doaj-ce5c37a2c5514250a54f7bd8c9ba0cfd2020-11-24T21:40:08ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-0120111172818Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value ProblemsShi HaipingZheng BoXiao Huafeng<p/> <p>By using critical point theory, Lyapunov-Schmidt reduction method, and characterization of the Brouwer degree of critical points, sufficient conditions to guarantee the existence of five or six solutions together with their sign properties to discrete second-order two-point boundary value problem are obtained. An example is also given to demonstrate our main result.</p>http://www.boundaryvalueproblems.com/content/2011/172818 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shi Haiping Zheng Bo Xiao Huafeng |
| spellingShingle |
Shi Haiping Zheng Bo Xiao Huafeng Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems Boundary Value Problems |
| author_facet |
Shi Haiping Zheng Bo Xiao Huafeng |
| author_sort |
Shi Haiping |
| title |
Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems |
| title_short |
Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems |
| title_full |
Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems |
| title_fullStr |
Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems |
| title_full_unstemmed |
Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems |
| title_sort |
existence of positive, negative, and sign-changing solutions to discrete boundary value problems |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2011-01-01 |
| description |
<p/> <p>By using critical point theory, Lyapunov-Schmidt reduction method, and characterization of the Brouwer degree of critical points, sufficient conditions to guarantee the existence of five or six solutions together with their sign properties to discrete second-order two-point boundary value problem are obtained. An example is also given to demonstrate our main result.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2011/172818 |
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1725927973696045056 |