Abstract | ||
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In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray-Schauder nonlinear alternative. |
Year | DOI | Venue |
---|---|---|
2008 | 10.1016/j.camwa.2007.04.052 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
sufficient condition,nontrivial solutions,fixed point,certain suitable growth condition,leray-schauder nonlinear alternative,value problem,higher order multi-point boundary,multi-point boundary value problems,nontrivial solution,higher derivative,leray–schauder nonlinear alternative,higher order | Boundary value problem,Mathematical optimization,Nonlinear system,Mathematical analysis,Fixed point,Mathematics | Journal |
Volume | Issue | ISSN |
56 | 4 | Computers and Mathematics with Applications |
Citations | PageRank | References |
1 | 0.43 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xinguang Zhang | 1 | 163 | 23.65 |
Lishan Liu | 2 | 188 | 35.41 |