Department of Mathematics, North University of China
Taiyuan, Shanxi, 030051, China
email: syb6662009@yahoo.com.cn, Tel +86 351 3923592
Yanbin Sang
Abstract:
In this article, we study a class of mixed monotone
operators with perturbations. Using a monotone iterative technique and
the properties of cones, we show the existence and uniqueness
for fixed points for such operators.
As applications, we prove the existence and uniqueness of positive
solutions for nonlinear integral equations of second-order on time
scales. In particular, we do not assume the existence of upper-lower
solutions or compactness or continuity conditions.
Submitted April 10, 2013. Published October 18, 2013.
Math Subject Classifications: 47H07, 47H10, 34B10, 34B15.
Key Words: Sublinear; Mixed monotone operator; normal cone; time scales;
nonlinear integral equation.
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Yanbin Sang Department of Mathematics, North University of China Taiyuan, Shanxi, 030051, China email: syb6662009@yahoo.com.cn, Tel +86 351 3923592 |
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