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TiO2 Nanotube Arrays: Fabricated by Soft–Hard Template and the Grain Size Dependence of Field Emission Performance

Highly ordered TiO2 nanotube (TNT) arrays were successfully synthesized by the combination of soft and hard templates. In the fabrication of them, anodic aluminum oxide membranes act as the hard template while the self-assembly of polystyrene-block-poly(ethylene oxide) (PS-b-PEO) complexed with titanium-tetraisopropoxide (TTIP, the precursor of TiO2) provides the soft template to...

Positive periodic solutions for second order differential equations with impulsive effects

The existence of positive periodic solutions for a class of second order impulsive differential equations is studied. By using a fixed point theorem in cone, we obtain two existence results, which extend some known results. MSC: 34B18, 34B37.

Multiplicity of Periodic Solutions for Third-Order Nonlinear Differential Equations

Academic Editor: Alexander Klimenko Copyright © 2015 Xuxin Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use

Nonlocal boundary value problems with resonant or non-resonant conditions

We study solvability of nonlocal boundary value problems for second-order differential equations with resonance or non-resonance. The method of proof relies on Schauder’s fixed point theorem. Some examples are presented to illustrate the main results.MSC: 34B05.

Existence of Periodic Solutions for the Duffing Equation with Impulses

: F. Lobo Pereira Copyright © 2012 Xuxin Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and

Adaptive Synchronization for Two Different Stochastic Chaotic Systems with Unknown Parameters via a Sliding Mode Controller

This paper investigates the problem of synchronization for two different stochastic chaotic systems with unknown parameters and uncertain terms. The main work of this paper consists of the following aspects. Firstly, based on the Lyapunov theory in stochastic differential equations and the theory of sliding mode control, we propose a simple sliding surface and discuss the...