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  1. No Access

    Article

    Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential

    In this paper, we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential. We first introduce a generalized augmented Lagrangian function induced by a coupling vecto...

    Yan-fei Chai, San-yang Liu, Si-qi Wang in Acta Mathematicae Applicatae Sinica, Engli… (2022)

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    Article

    Lagrangian methods for optimal control problems governed by a mixed quasi-variational inequality

    This paper studies an optimal control problem where the state of the system is defined by a mixed quasi-variational inequality. Several sufficient conditions for the zero duality gap property between the optim...

    Zhong-bao Wang, Zi-li Chen, Zhang-you Chen, Si-sheng Yao in Optimization Letters (2018)

  3. No Access

    Article

    Fujita type conditions to heat equation with variable source

    This paper studies heat equation with variable exponent u t = Δu + up(x) + u q in ℝ N × (0, T), where p(x) ...

    Yun-xia Liu, Yun-hua Wang, Si-ning Zheng in Acta Mathematicae Applicatae Sinica, Engli… (2017)

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    Article

    Trimmed and Winsorized transformed means based on a scaled deviation

    This paper introduces the Tukey trimmed and Winsorized means for the transformed data based on a scaled deviation. The trimmed and Winsorized means and scale based on a scaled deviation are as special cases. M...

    Si-yang Wang, Heng-jian Cui in Acta Mathematicae Applicatae Sinica, English Series (2015)

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    Article

    Hausdorff operators on Euclidean spaces

    Hausdorff operator is an important operator raised from the dilation on Euclidean space and rooted in the classical summability of number series and Fourier series. It is also connected to many well known oper...

    Jie-cheng Chen, Da-shan Fan, Si-lei Wang in Applied Mathematics-A Journal of Chinese U… (2013)

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    Article

    Non-simultaneous quenching for a slow diffusion system coupled at the boundary

    This paper deals with the quenching behavior of positive solutions to the Newton filtration equations coupled with boundary singularities. We determine quenching rates for nonsimultaneous quenching at first, a...

    Cheng-yuan Qu, Wei Wang, Si-ning Zheng in Applied Mathematics-A Journal of Chinese U… (2012)

  7. No Access

    Article

    Double-medium constitutive model of geological material in uniaxial tension and compression

    Based on elasto-plasticity and damage mechanics, a double-medium constitutive model of geological material under uniaxial tension and compression was presented, on the assumption that rock and soil materials a...

    **ao-li Liu Doctor 刘晓丽, Si-**g Wang 王思敬… in Applied Mathematics and Mechanics (2006)