Results 31 to 40 of about 180 (151)
Uniqueness Theorems for Goursat-Type Problems
Journal of Differential Equations, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mishnaevskii, P.A., Ramm, A.G.
openaire +2 more sources
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form.
Aleksandr Anatol'evich Andreev +1 more
doaj +1 more source
Solutionsof Fuzzy Goursat Problems with Generalized Hukuhara (gH)-Differentiability Concept
AxiomsIn this manuscript, we will discuss the solutions of Goursat problems with fuzzy boundary conditions involving gH-differentiability. The solutions to these problems face two main challenges.
Noor Jamal +5 more
doaj +1 more source
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
openaire +1 more source
Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source