Abstract | ||
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By obtaining intervals of the parameter @l, this paper is concerned with the existence and nonexistence of positive solution of the second-order nonlinear dynamic equation on time scales -[p(t)x^@D(t)]^@?+q(t)x(t)=@lw(t)f(t,x),@ax(@r(a))-@bx^[^@D^](@r(a))=0,@cx(b)+@dx^[^@D^](b)=0 for t@?[a,b]@?T, where T is a time scale, @a=0,@c=0,@b0,@d0 with @a+@c0. The arguments are based upon fixed point theorems in a cone. |
Year | DOI | Venue |
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2007 | 10.1016/j.camwa.2007.01.031 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
existence,positive solution,delta and nabla derivatives,fixed point theorem,time scales,boundary value problem,second-order nonlinear dynamic equation,time scale,nonlinear dynamics,second order | Boundary value problem,Dynamic equation,Mathematical optimization,Nonlinear system,Mathematical analysis,Mathematics,Fixed-point theorem | Journal |
Volume | Issue | ISSN |
54 | 4 | Computers and Mathematics with Applications |
Citations | PageRank | References |
2 | 0.82 | 3 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Meiqiang Feng | 1 | 18 | 5.61 |
Xuemei Zhang | 2 | 7 | 2.95 |
Weigao Ge | 3 | 158 | 46.20 |