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  1. No Access

    Article

    A new approach to the oscillation for the difference equations with several variable advanced arguments

    In this paper, new oscillation criteria for second-order half-linear difference equations with several variable advanced arguments are obtained, which improve the existing results. Our approach is better than ...

    Shan Shi, Zhenlai Han in Journal of Applied Mathematics and Computing (2022)

  2. No Access

    Article

    Oscillation of Second-Order Half-Linear Neutral Advanced Differential Equations

    The purpose of this paper is to study the oscillation of second-order half-linear neutral differential equations with advanced argument of the form ...

    Shan Shi, Zhenlai Han in Communications on Applied Mathematics and Computation (2021)

  3. No Access

    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)

  4. No Access

    Article

    Existence and uniqueness of solutions for fractional q-difference Schrödinger equations

    The aim of this paper is to investigate the existence and uniqueness of solutions for a class of fractional q-difference Schrödinger equations appeared in Li et al. (Appl Math Lett 46:100–105, 2015). By use of tw...

    Kuikui Ma, Zhenlai Han, Shurong Sun in Journal of Applied Mathematics and Computing (2020)

  5. No Access

    Article

    Philos-type oscillation criteria for impulsive fractional differential equations

    In this paper, we study the oscillation of the impulsive Riemann–Liouville fractional differential equation $$\begin{aligned} {\left\{ \begin{array}{ll} [r(t)D_{ t_k^+}^\alpha x(t)]'+q(t)f\left( d+\int _{t_k^+}^t...

    Limei Feng, Yibing Sun, Zhenlai Han in Journal of Applied Mathematics and Computing (2020)

  6. 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)

  7. No Access

    Article

    New oscillation criterion for Emden–Fowler type nonlinear neutral delay differential equations

    In this paper, we consider the following Emden–Fowler type nonlinear neutral delay differential equations $$\begin{aligned} \left( r(t...

    Hui Li, Yige Zhao, Zhenlai Han in Journal of Applied Mathematics and Computing (2019)

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    Article

    Oscillation of third-order nonlinear delay dynamic equation with dam** term on time scales

    In this article, we consider the oscillation of a class of third-order nonlinear damped delay dynamic equation on time scales of the form ...

    Ying Sui, Zhenlai Han in Journal of Applied Mathematics and Computing (2018)

  9. 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)

  10. 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

    Oscillation criteria for third order neutral Emden–Fowler delay dynamic equations on time scales

    This paper is concern with a class of third-order neutral Emden–Fowler dynamic equation $$\begin{aligned} (a((rz^\Delta )^\Delta )^\al...

    Yunlong Shi, Zhenlai Han, Chuanxia Hou in Journal of Applied Mathematics and Computing (2017)

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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)

  13. No Access

    Article

    On the oscillation for third-order nonlinear neutral delay dynamic equations on time scales

    In this paper, we consider the third-order nonlinear neutral delay dynamic equations $$\begin{aligned} \left( b(t)\left( \left( ((x(t)...

    Yibing Sun, Zhenlai Han, Yongxiang Zhang in Journal of Applied Mathematics and Computing (2017)

  14. No Access

    Article

    Existence of solutions of boundary value problems for singular fractional q-difference equations

    In this paper, we study the existence and uniqueness of solutions for a class of singular three-point boundary value problems of fractional q-difference equations invovling fractional q-derivative of Riemann–Liou...

    Kuikui Ma, Shurong Sun, Zhenlai Han in Journal of Applied Mathematics and Computing (2017)

  15. No Access

    Article

    Existence and uniqueness for a class of multi-term fractional differential equations

    In this paper, we consider the initial value problem for the nonlinear fractional differential equations $$\begin{aligned} \left\{ \be...

    Qiu** Li, Chuanxia Hou, Liying Sun in Journal of Applied Mathematics and Computi… (2017)

  16. No Access

    Article

    Positive solutions for singular fractional differential equations with three-point boundary conditions

    In this paper, we consider the nonlinear three-point boundary value problem of singular fractional differential equations $$\begin{ali...

    Bingxian Li, Shurong Sun, Zhenlai Han in Journal of Applied Mathematics and Computing (2016)

  17. No Access

    Article

    The existence of solutions for boundary value problems of fractional differential inclusion with a parameter

    In this paper, we study the Sturm–Liouville problem for a class of fractional differential inclusion. By constructing suitable Banach space, using Leray–Schauder fixed point theory and upper semicontinuous exp...

    Nana **, Shurong Sun, Chao Zhang in Journal of Applied Mathematics and Computi… (2016)

  18. No Access

    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)

  19. No Access

    Article

    Existence results for boundary value problems of fractional functional differential equations with delay

    In this paper, we study boundary value problems of the following fractional functional differential equations involving the Caputo fractional derivative with delay

    Zhenlai Han, Yanan Li, Meizhen Sui in Journal of Applied Mathematics and Computing (2016)

  20. No Access

    Article

    Anti-periodic boundary value problems for fractional \(q\) -difference equations

    In this paper, we study the boundary value problem with anti-periodic boundary conditions involving the Caputo fractional \(q\) ...

    **nhui Li, Zhenlai Han, Shurong Sun in Journal of Applied Mathematics and Computing (2016)

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