Results 51 to 60 of about 12,187,697 (193)
On Riemann method for solving a mixed problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007 The formula for solution of a problem for an equation with the higher partial derivative of the general type is constructed using Riemann method. In this problem the solution is found in the characteristic parallelepiped with separated by the non ...
A. N. Mironov
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A uniqueness theorem for a goursat-type problem
Applied Mathematics Letters, 1992 Consider the problem (1) \(u_{tt}- \Delta u+ q(x)u=0\), \(x\in\mathbb{R}^ 3\), \(-r\leq t\leq r\), \(r=| x|\), (2) \(u=0\) at \(t=\pm r\), \[ \varliminf_{R\to\infty} \int_{| s|=R} \int_{-R}^ R | u_ r\mp u_ t|^ 2 dt ds=0.\tag{3} \] The boundary data are given on the characteristic cone \(t=\pm r\). Condition (3) is a condition at infinity. Assume that \(
Mishnaevskii, P.A., Ramm, A.G.
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An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper investigates the Fuzzy Adomian Decomposition Method to find approximate analytical solutions for linear and nonlinear fuzzy Darboux problems using the Caputo‐type mixed fractional derivative, which plays an important role in applied and engineering sciences. The solutions are formulated as series with easily calculable terms.
Nagwa A. Saeed +2 more
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The Complex Function Method Roadway Section Design of the Soft Coal Seam
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 As for the sophisticated advanced support technique of vertical wall semicircle arch roadway in the three‐soft coal seam, a design of flat top U‐shape roadway section was put forward. Based on the complex function method, the surrounding rock displacement and stress distribution laws both of vertical wall semicircle arch roadway and of flat top U‐shape
Shihao Tu +5 more
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9469-9475, August 2024.We reconstruct the initial functions from the trace of the solution of an initial value problem for the wave equation on the light cone. A method to recover the initial function from the solution of the wave equation on the light cone is already known for odd spatial dimensions.
Dabin Park, Sunghwan Moon
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Solution of a Goursat Problem in Optimal Domains [PDF]
gmj, 2007 Abstract In case a non-linear differential equation is reduced to a fixed-point problem, one has to apply a fixed-point theorem to a suitably chosen subset of the underlying function space. Generally speaking, in view of the non-linearity of the differential equation the restrictions for the data of the problem will be the more extensive
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Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 1, June 2024.Abstract We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth‐order linear equations with constant complex coefficients in the plane bounded domain.
Kateryna Buryachenko
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Totally deranged elements of almost simple groups and invariable generating sets
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract By a classical theorem of Jordan, every faithful transitive action of a non‐trivial finite group has a derangement (an element with no fixed points). The existence of derangements with additional properties has attracted much attention, especially for faithful primitive actions of almost simple groups.
Scott Harper
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On a proplem for generalized Boussinesq-Love equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 For a fourth-order equation with two independent variables a variant of the Goursat problem with data on two intersecting characteristics is considered.
Zhegalov, Valentin Ivanovich
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Minimal surfaces with symmetries
Proceedings of the London Mathematical Society, Volume 128, Issue 3, March 2024.Abstract Let G$G$ be a finite group acting on a connected open Riemann surface X$X$ by holomorphic automorphisms and acting on a Euclidean space Rn$\mathbb {R}^n$ (n⩾3)$(n\geqslant 3)$ by orthogonal transformations. We identify a necessary and sufficient condition for the existence of a G$G$‐equivariant conformal minimal immersion F:X→Rn$F:X\rightarrow
Franc Forstnerič
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