Results 41 to 50 of about 5,520,045 (177)
Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 For a differential equation of hyperbolic type with discontinuous coefficients a 3D Goursat problem with nonclassical boundary conditions is considered, which requires no matching conditions.
I. G. Mamedov
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Generalized Solutions of a Periodic Goursat Problem [PDF]
Journal of Applied Analysis, 2001 Following, P. R. Garabedian (1964) and E. Goursat (1956) and the author's two papers (1995) and (1997), the Goursat problem in \(\mathbb{R}^2\) is \[ {\partial^2u\over\partial x \partial y} (x,y)= f(x,y,u(x, y));\;u(x,0)= v(x);\;u(0,y)= w(y), \] where \(f\) is a complex valued function on \(\mathbb{R}^2\times \mathbb{C}\), smooth in the four underlying
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Generalizations of Wendroff Integral Inequalities and Their Discrete Analogues
Abstract and Applied Analysis, 2012 Generalizations of Wendroff type integral inequalities with four dependent limits and their discrete analogues are obtained. In applications, these results are used to establish the stability estimates for the solution of the Goursat problem.
Maksat Ashyraliyev
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On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
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Amenability versus non‐exactness of dense subgroups of a compact group
Journal of the London Mathematical Society, Volume 100, Issue 2, Page 592-622, October 2019., 2019 Abstract Given a countable residually finite group, we construct a compact group K and two elements w and u of K with the following properties: The group generated by w and u3 is amenable, the group generated by w and u contains a copy of the given group, and these two groups are dense in K.
Masato Mimura
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Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 15, Page 14334-14341, October 2025.ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki +2 more
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Advances in High Energy Physics, Volume 2018, Issue 1, 2018., 2018 We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before. In general, the coefficients of the expansions obey three‐term recurrence relations.
T. A. Ishkhanyan +3 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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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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