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  1. Article

    Open Access

    Bifurcation and exact solutions for the ( \(2+1\) )-dimensional conformable time-fractional Zoomeron equation

    In this paper, the bifurcation and new exact solutions for the ( 2 + 1 \(2+1\) )-dimensional conformable time-fractional Zoomeron equation are investigated by utilizing two reliable methods, which are generalized...

    Zhao Li, Tianyong Han in Advances in Difference Equations (2020)

  2. Article

    Open Access

    Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy

    In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prov...

    Haixia Li, Yuzhu Han in Boundary Value Problems (2017)

  3. 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)

  4. 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)

  5. Article

    Open Access

    Critical extinction exponents for a fast diffusion equation with nonlocal source and absorption

    In this article, the authors apply the super-solution and sub-solution methods, instead of energy estimate methods, to investigate the critical extinction exponents for a fast diffusion equation with a nonloca...

    Haixia Li, Yuzhu Han in Boundary Value Problems (2014)

  6. 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)

  7. Article

    Open Access

    On the Smarandache-Pascal derived sequences and some of their conjectures

    For any sequence { b ...

    **aoxue Li, Di Han in Advances in Difference Equations (2013)

  8. 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)

  9. Article

    Open Access

    Existence of Nonoscillatory Solutions to Second-Order Neutral Delay Dynamic Equations on Time Scales

    We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation ...

    Tongxing Li, Zhenlai Han, Shurong Sun, Dianwu Yang in Advances in Difference Equations (2009)