On the existence and uniqueness of solutions of the Goursat problem for systems of functional partial differential equations of hyperbolic type.
Grigolia, M. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Semilinear hyperbolic functional equations”
On the existence and uniqueness of solutions of the Goursat problem for systems of functional partial differential equations of hyperbolic type.
On existence and uniqueness of solutions of nonlocal problems for hyperbolic differential-functional equations in two independent variables
Tomasz Człapiński (1997)
Annales Polonici Mathematici
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We seek for classical solutions to hyperbolic nonlinear partial differential-functional equations of the second order. We give two theorems on existence and uniqueness for problems with nonlocal conditions in bounded and unbounded domains.
Generalized Cauchy problems for hyperbolic functional differential systems
Elżbieta Puźniakowska-Gałuch (2014)
Annales Polonici Mathematici
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A generalized Cauchy problem for hyperbolic functional differential systems is considered. The initial problem is transformed into a system of functional integral equations. The existence of solutions of this system is proved by using the method of successive approximations. Differentiability of solutions with respect to initial functions is proved. It is important that functional differential systems considered in this paper do not satisfy the Volterra condition.
On the stabiltiy of a system of functional equations characterizing generalize hyperbolic and trigonometric functions.
Jens Schwaiger, Wolfgang Förg-Rob (1993)
Aequationes mathematicae
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Generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in the Schauder canonic form
Jan Turo (1989)
Annales Polonici Mathematici
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An example of the absence of a global solution to some inverse problem for a hyperbolic equation.
Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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On the hyperbolic linear functional equations.
István Fenyö (1987)
Aequationes mathematicae
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Generalized n-dimensional Gronwall's inequality and its applications to non-selfadjoint and non-linear hyperbolic equations
Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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Nonclassical problems for the second order hyperbolic equations.
Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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On some applications of Bogoliubov method for hyperbolic equations
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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On second order hyperbolic equation with two independent variables
J. Kisyński (1970)
Colloquium Mathematicae
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Intersecting pencil of hyperbolic circles
R. Krasnodębski (1970)
Colloquium Mathematicae
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Boundaries of right-angled hyperbolic buildings
Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator
Duong Trong Luyen, Nguyen Minh Tri (2016)
Annales Polonici Mathematici
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The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator with a locally Lipschitz nonlinearity satisfying a subcritical growth condition.
Volumes in Hyperbolic 5-space.
R. Kellerhals (1995)
Geometric and functional analysis
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Propagation of weak discontinuities for quasilinear hyperbolic systems with coefficients functionally dependent on solutions
Małgorzata Zdanowicz, Zbigniew Peradzyński (2013)
Annales Polonici Mathematici
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The propagation of weak discontinuities for quasilinear systems with coefficients functionally dependent on the solution is studied. We demonstrate that, similarly to the case of usual quasilinear systems, the transport equation for the intensity of weak discontinuity is quadratic in this intensity. However, the contribution from the (nonlocal) functional dependence appears to be in principle linear in the jump intensity (with some exceptions). For illustration, several examples, including...
On A Characterization Of Trigonometrical And Hyperbolic Functions By Functional Equations
Czeslaw Dyjak (1982)
Publications de l'Institut Mathématique
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