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    Article

    Oscillation of a Class of Third-Order Neutral Differential Equations with Noncanonical Operators

    The aim of this paper is to complement existing oscillation results for third-order neutral advanced differential equations under the condition of ...

    Limei Feng, Zhenlai Han in Bulletin of the Malaysian Mathematical Sciences Society (2021)

  2. 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)

  3. 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)

  4. Article

    Open Access

    Positive solutions for integral boundary value problem of two-term fractional differential equations

    In this paper, we investigate a class of nonlinear two-term fractional differential equations involving two fractional orders ...

    Mengrui Xu, Zhenlai Han in Boundary Value Problems (2018)

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    Article

    Hille and Nehari-Type Oscillation Criteria for Third-Order Emden–Fowler Neutral Delay Dynamic Equations

    We establish some oscillation criteria for the third-order Emden–Fowler neutral delay dynamic equations of the form: $$\begin{aligned}...

    Yizhuo Wang, Zhenlai Han, Shurong Sun in Bulletin of the Malaysian Mathematical Sci… (2017)

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    Article

    Interval Oscillation Criteria for Second-Order Damped Differential Equations with Mixed Nonlinearities

    In this paper, we consider the interval oscillation criteria for second-order damped differential equations with mixed nonlinearities

    Zhenlai Han, Yibing Sun, Dianwu Yang in Bulletin of the Malaysian Mathematical Sci… (2016)

  7. Article

    Open Access

    Singular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter

    In this paper, we consider singular boundary value problems for the following nonlinear fractional differential equations with delay:

    Yong Mu, Liying Sun, Zhenlai Han in Boundary Value Problems (2016)

  8. Article

    Open Access

    Successively iterative method for a class of high-order fractional differential equations with multi-point boundary value conditions on half-line

    In this paper, we study the existence of the positive solutions for a class of high-order differential equations with multi-point boundary value conditions involving the Caputo fractional derivative on infinit...

    Bingxian Li, Shurong Sun, Zhenlai Han in Boundary Value Problems (2016)

  9. 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)

  10. 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)

  11. 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)

  12. 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)

  13. 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)

  14. Article

    Open Access

    Multiplicity of positive solutions for Sturm-Liouville boundary value problems of fractional differential equations with p-Laplacian

    In this article, we investigate the Sturm-Liouville boundary value problems of fractional differential equations with p-Laplacian

    Hongling Lu, Zhenlai Han, Shurong Sun in Boundary Value Problems (2014)

  15. 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)

  16. 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)

  17. 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)

  18. 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)

  19. Article

    Open Access

    Three-point boundary value problems of fractional functional differential equations with delay

    In this paper, we study three-point boundary value problems of the following fractional functional differential equations involving the Caputo fractional derivative:

    Yanan Li, Shurong Sun, Dianwu Yang, Zhenlai Han in Boundary Value Problems (2013)

  20. 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)

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