To the theory of boundary value problems for hyperbolic type equations and systems.
Gvazava, J., Kharibegashvili, S. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Well Posedness of Balance Laws with Non-Characteristic Boundary”
To the theory of boundary value problems for hyperbolic type equations and systems.
Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss-Sakamoto condition
Matthias Eller (2008)
Applicationes Mathematicae
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Symmetric hyperbolic systems with a class of non-homogeneous boundary conditions that do not satisfy the Kreiss-Sakamoto condition (or uniform Lopatinskii condition) are discussed. The boundary conditions are of conservative type. An energy estimate which provides interior and boundary regularity for weak solutions to the system is proved. The results are valid for operators with rough coefficients. As an example the anisotropic Maxwell system is considered.
The third boundary value problem for a nonlinear system of second order hyperbolic integro-differential equations
Andrzej Borzymowski (1998)
Mathematica Slovaca
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Well-posedness and propagation of singularities for initial boundary value problem for second order hyperbolic equation with general boundary condition
G. Eskin (1979-1980)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Boundary value problems for third order differential equations by solution matching.
Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities
P. Ch. Tsamatos (2004)
Annales Polonici Mathematici
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We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.
Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations.
Arnold, Douglas N., Tarfulea, Nicolae (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Remarks on a three-point boundary value problem in a differential equation of the third order
M. Greguš (1974)
Annales Polonici Mathematici
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Positive solutions to an th order right focal boundary value problem.
Maroun, Mariette (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On boundary-value problems for partial differential equations of order higher than two
Jan Popiołek (1997)
Annales Polonici Mathematici
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We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].
A boundary value problem for non-linear differential equations with a retarded argument
Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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