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    Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method by Mehvish Fazal Ur Rehman, Yongyi Gu, Wenjun Yuan

    Published 2021-01-01
    “…Appropriately, the rational, periodic, and elliptic function solutions are obtained by this technique. …”
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    Chebyshev Polynomials of Sixth Kind for Solving Nonlinear Fractional PDEs with Proportional Delay and Its Convergence Analysis by Khadijeh Sadri, Hossein Aminikhah

    Published 2022-01-01
    “…The two-variable Chebyshev polynomials of the sixth kind, as basis functions in the proposed method, are constructed by the one-variable ones, and their operational matrices are derived. …”
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    Blow-Up Phenomena for Nonlinear Reaction-Diffusion Equations under Nonlinear Boundary Conditions by Juntang Ding

    Published 2016-01-01
    “…We obtain the conditions under which the solutions either exist globally or blow up in a finite time by constructing auxiliary functions and using maximum principles. …”
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  10. 3490

    Inversion of the Attenuated X-Ray Transforms: Method of Riesz Potentials by Yu Yufeng

    Published 2020-01-01
    “…By constructing the symmetric attenuated X-ray transform Aμ on the plane and using the method of Riesz potentials, we obtain the inversion formula of the attenuated X-ray transforms on Lpℝ21≤p<2 space, with nonnegative attenuation functions μ, integrable on any straight line in ℝ2. …”
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    Global Exponential Stability of Both Continuous-Time and Discrete-Time Switched Positive Time-Varying Delay Systems with Interval Uncertainties and All Unstable Subsystems by Thanasak Mouktonglang, Suriyon Yimnet

    Published 2022-01-01
    “…Both the continuous-time and the discrete-time cases of LSPTDSs with interval uncertainties and all unstable subsystems (AUSs) are investigated. By constructing a time-scheduled multiple copositive Lyapunov-Krasovskii functional (MCLKF), novel sufficient conditions are derived within the framework of the FADT switching to guarantee such systems in the case of continuous-time to be globally uniformly exponentially stable. …”
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