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Publications Influence

Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems

- Ziheng Zhang, R. Yuan
- Mathematics
- 1 November 2009

Abstract In this paper we consider the existence of homoclinic solutions for the following second-order non-autonomous Hamiltonian system: (HS) q − L ( t ) q + W q ( t , q ) = 0 , where L ( t ) ∈ C (… Expand

77 3

Fast homoclinic solutions for some second order non-autonomous systems

- Ziheng Zhang, R. Yuan
- Mathematics
- 1 April 2011

Abstract This paper is concerned with the existence of homoclinic solutions for the following second order non-autonomous system (FHS) q ¨ + c q ˙ + U q ( t , q ) = 0 , where q ∈ R n , c ⩾ 0 is a… Expand

26 3

Periodic solutions for some second order differential equations with singularity

- Xiong Li, Ziheng Zhang
- Mathematics
- 1 May 2008

Abstract.In this paper, we will prove the existence of infinitely many harmonic and subharmonic solutions for the second order differential equation ẍ + g(x) = f(t, x) using the phase plane analysis… Expand

18 3

An application of variational methods to Dirichlet boundary value problem with impulses

- Ziheng Zhang, R. Yuan
- Mathematics
- 1 February 2010

Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive… Expand

113 2

Homoclinic Solutions for a Class of Second Order Hamiltonian Systems

- R. Yuan, Ziheng Zhang
- Mathematics
- 1 February 2012

AbstractIn this paper we consider the existence of homoclinic solutions for the following second order non-autonomous Hamiltonian system
$${\ddot q}-L(t)q+\nabla W(t,q)=0,… Expand

32 2

Homoclinic Solutions for p-Laplacian Hamiltonian Systems with Combined Nonlinearities

- Ziheng Zhang, R. Yuan
- Mathematics
- 1 October 2017

In this paper we investigate the existence of homoclinic solutions for the following p-Laplacian Hamiltonian systems $$\begin{aligned} \frac{d}{dt}(|{\dot{u}}(t)|^{p-2}… Expand

3 2

Transformation of apatite phosphorus and non-apatite inorganic phosphorus during incineration of sewage sludge.

- Rundong Li, Ziheng Zhang, Yanlong Li, Wenchao Teng, Weiyun Wang, Tianhua Yang
- Chemistry, Medicine
- Chemosphere
- 1 December 2015

The recovery of phosphorus from incinerated sewage sludge ash (SSA) is assumed to be economical. Transformation from non-apatite inorganic phosphorus (NAIP) to apatite phosphorus (AP), which has a… Expand

29 1

Capturing RNA–protein interaction via CRUIS

- Ziheng Zhang, Wei-Ping Sun, Tiezhu Shi, Pengfei Lu, M. Zhuang, J. Liu
- Biology, Medicine
- Nucleic acids research
- 6 March 2020

Abstract No RNA is completely naked from birth to death. RNAs function with and are regulated by a range of proteins that bind to them. Therefore, the development of innovative methods for studying… Expand

8 1- PDF

Variational approach to solutions for a class of fractional Hamiltonian systems

- Ziheng Zhang, R. Yuan
- Mathematics
- 1 July 2014

In this paper, we investigate the existence of infinitely many solutions for the following fractional Hamiltonian systems:
(FHS)
where α ∈ (1 ∕ 2,1), , , and are symmetric and positive… Expand

37 1

Homoclinic solutions of some second order non-autonomous systems

- Ziheng Zhang, R. Yuan
- Mathematics
- 1 December 2009

Abstract In this paper we investigate the existence of homoclinic solutions for the following second order non-autonomous system q + A q − L ( t ) q + W q ( t , q ) = 0 , ( DS ) where A is an… Expand

29 1

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