Backward Continuation of the Solutions of the Cauchy Problem for Linear Fractional System with Deviating Argument by Hristo Kiskinov, Mariyan Milev, Milena Petkova, Andrey Zahariev

“…This work considers a Cauchy (initial) problem for a linear delayed system with derivatives in Caputo’s sense of incommensurate order, distributed delays, and piecewise initial functions. …”
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A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation by Sun Sook Jin, Yang-Hi Lee

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Green’s Function of the Cauchy Problem for Equations with Dissipative Parabolicity, Negative Genus, and Variable Coefficients by Vladyslav Litovchenko, Denys Kharyna

“…Green’s function of the Cauchy problem is constructed by the method of successive approximations, and its main properties are studied for a new class of linear differential equations with dissipative parabolicity and negative genus, whose coefficients are bounded, continuous in time, and infinitely differentiable by the spatial variable of the function. …”
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The Cauchy Problem to a Shallow Water Wave Equation with a Weakly Dissipative Term by Ying Wang, YunXi Guo

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POST-DEMOCRACY. REMARKS ON APPLICATION POSSIBILITIES AND LIMITS OF THE CONCEPT IN THE CZECH CONTEXT by Jan ČAMBORA, Jan HOLZER

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Using a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation by Benedict Barnes, Anthony Y. Aidoo, Joseph Ackora-Prah

“…The DRM includes a positive integer scaler that homogenizes the inhomogeneous boundary deflection in the Helmholtz equation’s Cauchy issue. This guarantees the existence and uniqueness of the equation’s solution. …”
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Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator by Meshari Alesemi, Naveed Iqbal, Mohammed S. Abdo

“…In this article, the new iterative transform technique and homotopy perturbation transform method are applied to calculate the fractional-order Cauchy-reaction diffusion equation solution. Yang transformation is mixed with the new iteration method and homotopy perturbation method in these methods. …”
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Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices by Josef Diblík, Michal Fečkan, Michal Pospíšil

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On Sharp Hölder Estimates of the Cauchy-Riemann Equation on Pseudoconvex Domains in Cn with One Degenerate Eigenvalue by Sanghyun Cho, Young Hwan You

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Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation by shaimaa aamer, Fatima M. Aboud

“…By injecting a noise to the Cauchy data, the stability is verified. …”
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The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid by Jae-Myoung Kim

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Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights by Alexei Yu. Karlovich

“…Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights over Carleson curves. …”
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Nonlinear differential equations and algebraic systems by Lloyd K. Williams

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« Tout est dedans ». Remarques sur la matrice shakespearienne à propos d’I, Shakespeare de Tim Crouch by Virginie Yvernault

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Of an Apocalyptic Tone Recently Adopted in Theatre: British Drama, Violence and Writing by Dan Rebellato

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On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces by Tofig Isa Najafov, Saeed Farahani

“…A singular operator with Cauchy kernel on the subspaces of weight Lebesgue space is considered. …”
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Multistrategy Harris Hawks Optimization Algorithm Using Chaotic Method, Cauchy Mutation, and Elite Individual Guidance by Lei Wen, Guopeng Wang, Longwang Yue, Xiaodan Liang, Hanning Chen

“…Second, the cosine function is used to better simulate the characteristics of the periodic change of the energy of the prey in the repeated contests with the group of hawks, to better balance the exploration and exploitation of the algorithm. Third, Cauchy mutation on the optimal individual in the exploration phase is performed, and the characteristics of the Cauchy distribution to enhance the diversity of the population are used, which can effectively prevent the algorithm from falling into the local optimum. …”
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A Generalization of the Cauchy-Schwarz Inequality and Its Application to Stability Analysis of Nonlinear Impulsive Control Systems by Yang Peng, Jiang Wu, Limin Zou, Yuming Feng, Zhengwen Tu

“…In this paper, we first present a generalization of the Cauchy-Schwarz inequality. As an application of our result, we obtain a new sufficient condition for the stability of a class of nonlinear impulsive control systems. …”
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On the Construction of Regular Solutions for a Class of Generalized Cauchy–Riemann Systems with Coefficients Bounded on the Entire Plane by S. Baizaev, R. N. Barotov

Subjects: “…generalized cauchy–riemann system…”
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Solution of Cauchy-Type Singular Integral Equations of the First Kind with Zeros of Jacobi Polynomials as Interpolation Nodes by G. E. Okecha

“…Of concern in this paper is the numerical solution of Cauchy-type singular integral equations of the first kind at a discrete set of points. …”
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