Results 41 to 50 of about 180 (151)
Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT As part of the efforts aimed at extending Painlevé and Gambier's work on second‐order equations in one variable to first‐order ones in two, in 1981, Bureau classified the systems of ordinary quadratic differential equations in two variables which are free of movable critical points (which have the Painlevé Property).
Adolfo Guillot
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Singular Solutions to a (3 + 1)‐D Protter‐Morawetz Problem for Keldysh‐Type Equations
Advances in Mathematical Physics, Volume 2017, Issue 1, 2017., 2017 We study a boundary value problem for (3 + 1)‐D weakly hyperbolic equations of Keldysh type (problem PK). The Keldysh‐type equations are known in some specific applications in plasma physics, optics, and analysis on projective spaces. Problem PK is not well‐posed since it has infinite‐dimensional cokernel.
Nedyu Popivanov +4 more
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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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Fundamental Solutions of the Axial Symmetric Goursat Problem [PDF]
Journal of Nonlinear Mathematical Physics, 1996 Summary: Fundamental solutions with a given boundary condition on the characteristics of relativistic problems with axial symmetry are considered. This is the so-called Goursat problem, or zero plane formalism in Dirac's terminology, or modification of the proper time method in the Fock-Nambu-Schwinger formalism.
Borghardt, A. A. +2 more
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Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations
Annalen der Physik, Volume 537, Issue 6, June 2025.A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona +2 more
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Advances in Mathematical Physics, Volume 2017, Issue 1, 2017., 2017 A complete family of solutions for the one‐dimensional reaction‐diffusion equation, uxx(x, t) − q(x)u(x, t) = ut(x, t), with a coefficient q depending on x is constructed. The solutions represent the images of the heat polynomials under the action of a transmutation operator.
Vladislav V. Kravchenko +3 more
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Journal of Geophysical Research: Planets, Volume 130, Issue 4, April 2025.Abstract Certain spiral density waves in Saturn's rings are generated through resonances with planetary normal modes, making them valuable probes of Saturn's internal structure. Previous research has primarily focused on the rotation rates of these waves. However, other characteristics of these waves also contain valuable information about the planet's
V. M. Afigbo +6 more
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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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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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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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