The explicit solution of the characteristical initial value problem for canonical hyperbolic systems by means of the two-dimensional laplace transform

Dietzel, Ernst; Toparkus, Heinz

doi:10.1080/10652469808819201

Integral Transforms and Special Functions

1998

DOI: 10.1080/10652469808819201

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The explicit solution of the characteristical initial value problem for canonical hyperbolic systems by means of the two-dimensional laplace transform

Ernst Dietzel

Heinz Toparkus

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“…See [2] for a detailed representation. Any possible hyperbolic first-order (2,2)-system with constant, real coefficient matrices is equivalent (by linear transforms) to a system of the shape (1), that is the weight of Equation (1), cf.…”

mentioning

confidence: 99%

Revisited: The explicit solution of the characteristical initial value problem for hyperbolic first-order systems

Babovsky

Toparkus

2009

Integral Transforms and Special Functions

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mentioning

confidence: 99%

Revisited: The explicit solution of the characteristical initial value problem for hyperbolic first-order systems

Babovsky

Toparkus

2009

Integral Transforms and Special Functions

View full text Add to dashboard Cite

First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods

Toparkus¹

2014

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate initial value problems in appropriate basic areas, and you can try to achieve a solution of these problems by means of transform methods.

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The explicit solution of the characteristical initial value problem for canonical hyperbolic systems by means of the two-dimensional laplace transform

Cited by 2 publications

References 2 publications

Revisited: The explicit solution of the characteristical initial value problem for hyperbolic first-order systems

Revisited: The explicit solution of the characteristical initial value problem for hyperbolic first-order systems

First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods

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