Title
Positive solutions for a class of boundary value problems on time scales
Abstract
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
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 Feng1185.61
Xuemei Zhang272.95
Weigao Ge315846.20