On the Cauchy problem for a degenerate parabolic differential equation by Ahmed El-Fiky

Subjects: “…Cauchy problem-Degenerate parabolic.…”
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On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane by Davron Juraev, Nazira Mammadzada, Praveen Agarwal, Shilpi Jain

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Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations by Ismail Kombe

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Optimal Stable Approximation for the Cauchy Problem for Laplace Equation by Hongfang Li, Feng Zhou

“…Cauchy problem for Laplace equation in a strip is considered. …”
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The Extraction and Validation of Low-Frequency Wind-Generated Noise Source Levels in the Chukchi Plateau by Zhicheng Li, Yanming Yang, Hongtao Wen, Hongtao Zhou, Hailin Ruan, Yu Zhang

Subjects: “…Chukchi Plateau…”
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Some New Variants of Cauchy's Methods for Solving Nonlinear Equations by Tianbao Liu, Hengyan Li

“…We present and analyze some variants of Cauchy's methods free from second derivative for obtaining simple roots of nonlinear equations. …”
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An Adaptive Cauchy Differential Evolution Algorithm for Global Numerical Optimization by Tae Jong Choi, Chang Wook Ahn, Jinung An

“…The control parameters of each individual are adapted based on the average parameter value of successfully evolved individuals’ parameter values by using the Cauchy distribution. Through this, the control parameters of each individual are assigned either near the average parameter value or far from that of the average parameter value which might be better parameter value for next generation. …”
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On functions with the Cauchy difference bounded by a functional. Part II by Włodzimierz Fechner

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Modified Cauchy Problem with Impulse Action for Parabolic Shilov Equations by Galina Unguryan

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Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications by Soo Hwan Kim

“…As applications of the analytical structure, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional equation fx⊕y=fx⊕fy in tangle space which is a set of real tangles with analytic structure and describe the DNA recombination as the action of some enzymes on tangle space.…”
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Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation by Nehad Ali Shah, Essam R. El-Zahar, Hina M. Dutt, Mohammad Asif Arefin

“…Fractional Cauchy reaction-diffusion equations play a significant role in diffusion, and instabilities can lead to formation and stabilization. …”
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On the Cauchy problem of compressible Micropolar fluids subjected to Hall current by Mingyu Zhang

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Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems by Mohamed Hannabou, Khalid Hilal, Ahmed Kajouni

“…We used some fixed point theorems such as Banach contraction mapping principle, Schauder’s fixed point theorem, Schaefer’s fixed point theorem, and Krasnoselskii’s fixed point theorem, and we derive many existence and uniqueness results concerning the solution for impulsive nonlocal Cauchy problems. Some concrete applications to partial differential equations are considered. …”
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Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems by Zhan-Dong Mei, Ji-Gen Peng, Jing-Huai Gao

“…Moreover, the well-posedness of the corresponding fractional abstract Cauchy problems is studied.…”
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Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type by Vladimir Lizarazo, Richard De la cruz, Julio Lizarazo

“…In this paper, we show the local well-posedness for the Cauchy problem for the equation of the Nagumo type in this equation (1) in the Sobolev spaces Hsℝ. …”
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Existence of Solutions for G-SFDEs with Cauchy-Maruyama Approximation Scheme by Faiz Faizullah

“…We present the Cauchy-Maruyama (CM) approximation scheme and establish the existence theory of stochastic functional differential equations driven by G-Brownian motion (G-SFDEs). …”
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On polynomials of Sheffer type arising from a Cauchy problem by D. G. Meredith

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«Priority Dispute» between Cauchy and Maclaurin or the History of a Mistake. by A. V. Yastrebov

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Subsurface warming associated with Pacific Summer Water transport toward the Chukchi Borderland in the Arctic Ocean by Miaki Muramatsu, Eiji Watanabe, Motoyo Itoh, Jonaotaro Onodera, Kohei Mizobata, Hiromichi Ueno

“…For the first time, we detected remarkable subsurface warming around the Chukchi Borderland in the Arctic Ocean over the recent two decades (i.e., the early 21st century). …”
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Phylogenetic analysis and the spatial spread of arctic rabies virus in Chukotka by Sergey A. Chupin, Aleksandr D. Botvinkin, Ivan D. Zarva, Elena V. Chernyshova

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