Abstract | ||
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By constructing a special cone and using cone compression and expansion fixed point theorem, the existence and uniqueness are established for the following singular fourth-order boundary value problems: x^(^4^)(t)=f(t,x(t),-x^''(t)),t@?(0,1),x(0)=x(1)=x^''(0)=x^''(1)=0, where f(t,x,y) may be singular at t=0,1; x=0 and y=0. |
Year | DOI | Venue |
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2009 | 10.1016/j.camwa.2009.07.041 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
existence,fourth-order boundary value problem,fourth-order singular boundary value,cone compression,uniqueness,special cone,e -norm,uniqueness theorem,value problem,following singular fourth-order boundary,point theorem,singular,e,boundary value problem,fixed point theorem | Boundary value problem,Uniqueness,Mathematical optimization,Fourth order,Mathematical analysis,Singular solution,Fixed-point theorem,Mathematics,Singular boundary value problems | Journal |
Volume | Issue | ISSN |
58 | 7 | Computers and Mathematics with Applications |
Citations | PageRank | References |
1 | 0.37 | 1 |
Authors | ||
2 |