Results 11 to 20 of about 553 (265)
On the Lagrangian Trajectories for the One-Dimensional Euler Alignment Model without Vacuum Velocity
Comptes Rendus. Mathématique, 2020 A well-known result of Carrillo, Choi, Tadmor, and Tan [1] states that the 1D Euler Alignment model with smooth interaction kernels possesses a “critical threshold” criterion for the global existence or finite-time blowup of solutions, depending on the ...
Leslie, Trevor M.
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Numerical study of nonlinear problems in the dynamics of thin-walled structural elements [PDF]
E3S Web of Conferences, 2021 Mathematical model of the problem of vibration of thin-walled structural elements has been constructed based on Kirchhoff-Love theory. The problem is reduced, using the Bubnov-Galerkin method, to the solution of a set of nonlinear integro-differential ...
Kucharov Olim +3 more
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On the Volterra integral equation with weakly singular kernel [PDF]
Mathematica Bohemica, 2006 Summary: We give sufficient conditions for the existence of at least one integrable solution of equation \(x(t)=f(t)+\int _{0}^{t} K(t,s)g(s,x(s))\,ds\). Our assumptions and proofs are expressed in terms of measures of noncompactness.
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Fractal and Fractional, 2021 In this paper, by means of the second Chebyshev wavelet and its operational matrix, we solve a system of fractional-order Volterra–Fredholm integro-differential equations with weakly singular kernels.
Esmail Bargamadi +3 more
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Delayed Gronwall inequality with weakly singular kernel
, 2023 Delay Gronwall inequality with a weakly singular kernel has been a subject of interest in various mathematical studies. In this article, we will delve into the consideration of this inequality and its application in the study continuity of the state trajectory for a Volterra integral equation with delay.
Asadzade, Javad A. +2 more
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Axioms, 2022 This paper is concerned with numerical solutions to Volterra integro-differential equations with weakly singular kernels. Making use of the transformed fractional Jacobi polynomials, we develop a class of piecewise fractional Galerkin methods for solving
Haiyang Li, Junjie Ma
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On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
Abstract and Applied Analysis, 2014 Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels.
Kelong Cheng, Chunxiang Guo, Qingke Zeng
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The Szegő kernel as a singular integral kernel on a family of weakly pseudoconvex domains [PDF]
Transactions of the American Mathematical Society, 1987 The Szegö kernels on the weakly pseudoconvex domains { Im
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Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels [PDF]
SIAM Journal on Mathematical Analysis, 1971 Differentiability of nonlinear Volterra integral equations of second kind with convolutional weakly singular ...
Miller, Richard K., Feldstein, Alan
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On multi-singular integral equations involving n weakly singular kernels
Filomat, 2018 We deal with some sources of Banach spaces which are closely related to an important issue in applied mathematics i.e. the problem of existence and uniqueness of the solution for the very applicable weakly singular integral equations. In the classical mode, the uniform space (C[a,b], ||.||?) is usually applied to the related discussion ...
Sales, S. M. S. Nabavi, Baghani, O.
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