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  1. Article

    Open Access

    The distribution of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations

    In this paper, the distributions of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations are studied. By means of inequality techniques, specific function se...

    Limei Feng, Zhenlai Han in Advances in Difference Equations (2019)

  2. Article

    Open Access

    Oscillation of second order neutral dynamic equations with deviating arguments on time scales

    In this paper, we consider the following second order neutral dynamic equations with deviating arguments on time scales: ...

    Ying Sui, Zhenlai Han in Advances in Difference Equations (2018)

  3. Article

    Open Access

    Oscillation criteria for a generalized Emden-Fowler dynamic equation on time scales

    In this paper, we consider the second-order Emden-Fowler neutral delay dynamic equation ...

    Yunlong Shi, Zhenlai Han, Ying Sun in Advances in Difference Equations (2016)

  4. Article

    Open Access

    Existence and multiplicity of positive solutions for a class of fractional differential equations with three-point boundary value conditions

    In this paper, we consider the nonlinear three-point boundary value problem of fractional differential equations

    Bingxian Li, Shurong Sun, ** Zhao, Zhenlai Han in Advances in Difference Equations (2015)

  5. Article

    Open Access

    Existence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions

    In this paper, we study the boundary value problem for a class of nonlinear fractional q-difference equation with mixed nonlinear conditions involving the fractional q-derivative of Riemann-Liouuville type. By me...

    **nhui Li, Zhenlai Han, Shurong Sun, ** Zhao in Advances in Difference Equations (2014)

  6. Article

    Open Access

    Boundary value problems for fractional q-difference equations with nonlocal conditions

    In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a fracti...

    **nhui Li, Zhenlai Han, Shurong Sun, Hongling Lu in Advances in Difference Equations (2014)

  7. Article

    Open Access

    On the oscillation and asymptotic behavior for a kind of fractional differential equations

    In this paper, we discuss the oscillations of the fractional order differential equation D a α

    Yizhuo Wang, Zhenlai Han, ** Zhao, Shurong Sun in Advances in Difference Equations (2014)

  8. Article

    Open Access

    The existence of solutions to a class of boundary value problems with fractional difference equations

    In this paper, we study the existence and uniqueness of solutions for the boundary value problem of fractional difference equations

    Yuanyuan Pan, Zhenlai Han, Shurong Sun, Chuanxia Hou in Advances in Difference Equations (2013)

  9. Article

    Open Access

    Existence of positive solutions of nonlinear fractional q-difference equation with parameter

    In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative. By means of a fixed point theorem...

    **nhui Li, Zhenlai Han, Shurong Sun in Advances in Difference Equations (2013)

  10. Article

    Open Access

    Boundary value problems for fractional differential equations with nonlocal boundary conditions

    In this paper, we establish some sufficient conditions for the existence of solutions to two classes of boundary value problems for fractional differential equations with nonlocal boundary conditions. Our goal...

    Rian Yan, Shurong Sun, Ying Sun, Zhenlai Han in Advances in Difference Equations (2013)

  11. Article

    Open Access

    Oscillation criteria for p-Laplacian delay dynamic equations with dam** on time scales

    In this paper, we establish some new oscillation criteria for p-Laplacian delay dynamic equations with dam**

    Zhenlai Han, Yibing Sun, Meirong Xu in Advances in Difference Equations (2013)

  12. Article

    Open Access

    Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with p-Laplacian

    In this paper, we study the existence of positive solutions for the nonlinear fractional boundary value problem with a p-Laplacian operator

    Hongling Lu, Zhenlai Han, Shurong Sun, Jian Liu in Advances in Difference Equations (2013)

  13. Article

    Open Access

    Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

    In this article, we study the existence of positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

    Yige Zhao, Shurong Sun, Zhenlai Han, Wenquan Feng in Advances in Difference Equations (2011)

  14. Article

    Open Access

    Oscillation Criteria for Second-Order Nonlinear Neutral Delay Differential Equations

    Some sufficient conditions are established for the oscillation of second-order neutral differential equation ,

    Zhenlai Han, Tongxing Li, Shurong Sun, Weisong Chen in Advances in Difference Equations (2010)

  15. Article

    Open Access

    Oscillation of Even-Order Neutral Delay Differential Equations

    By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations ...

    Tongxing Li, Zhenlai Han, ** Zhao, Shurong Sun in Advances in Difference Equations (2010)

  16. Article

    Open Access

    Oscillatory Behavior of Quasilinear Neutral Delay Dynamic Equations on Time Scales

    By means of the averaging technique and the generalized Riccati transformation technique, we establish some oscillation criteria for the second-order quasilinear neutral delay dynamic equations ...

    Zhenlai Han, Shurong Sun, Tongxing Li, Chenghui Zhang in Advances in Difference Equations (2010)

  17. Article

    Open Access

    Oscillation for a Class of Second-Order Emden-Fowler Delay Dynamic Equations on Time Scales

    By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations ...

    Shurong Sun, Zhenlai Han, ** Zhao, Chao Zhang in Advances in Difference Equations (2010)

  18. Article

    Open Access

    Oscillation Criteria for Second-Order Quasilinear Neutral Delay Dynamic Equations on Time Scales

    We establish some new oscillation criteria for the second-order quasilinear neutral delay dynamic equations on a time scale

    Yibing Sun, Zhenlai Han, Tongxing Li, Guangrong Zhang in Advances in Difference Equations (2010)

  19. Article

    Open Access

    Uniqueness of Periodic Solution for a Class of Liénard -Laplacian Equations

    By topological degree theory and some analysis skills, we consider a class of generalized Liénard type -Laplacian equations. Upon some suitable ...

    Fengjuan Cao, Zhenlai Han, ** Zhao, Shurong Sun in Advances in Difference Equations (2010)

  20. Article

    Open Access

    On the Oscillation of Second-Order Neutral Delay Differential Equations

    Some new oscillation criteria for the second-order neutral delay differential equation ,

    Zhenlai Han, Tongxing Li, Shurong Sun, Weisong Chen in Advances in Difference Equations (2010)

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