Title :
Existence and uniqueness of positive solution for 2nth order Lidstone BVPs on time scales
Author :
Yonghui Huang ; Eryong Cong ; Li Zhu
Author_Institution :
Dept. of Math., Harbin Univ., Harbin, China
Abstract :
In this paper, the existence and uniqueness of positive solution for 2nth order Lidstone boundary value problems on time scales are obtained by using mixed monotone method. When the time scale T is chosen as ℝ or ℤ, the problem is the corresponding continuous or discrete boundary value problem. Such boundary value problems play an important role in research of control theory.
Keywords :
boundary-value problems; Lidstone BVP; Lidstone boundary value problems; continuous boundary value problem; control theory; discrete boundary value problem; mixed monotone method; positive solution existence; positive solution uniqueness; time scale; Boundary value problems; Control theory; Differential equations; Electronic mail; Green´s function methods; Iterative methods;
Conference_Titel :
Mechatronics and Control (ICMC), 2014 International Conference on
Print_ISBN :
978-1-4799-2537-7
DOI :
10.1109/ICMC.2014.7231594
