The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations

Jan Ligęza

Displaying similar documents to “The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations”

On distributional solutions of some systems of linear differential equations

Jan Ligęza (1977)

Časopis pro pěstování matematiky

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Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation

Dariusz Idczak (1998)

Czechoslovak Mathematical Journal

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We give characterizations of the distributional derivatives $D^{1, 1}$ , $D^{1, 0}$ , $D^{0, 1}$ of functions of two variables of locally finite variation. Then we use these results to prove the existence theorem for the hyperbolic equation with a nonhomogeneous term containing the distributional derivative determined by an additive function of an interval of finite variation. An application of the above theorem to a hyperbolic equation with an impulse effect is also given.

On certain properties of a system of linear differential equations

Ivo Vrkoč (1965)

Časopis pro pěstování matematiky

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Linear distributional differential equations in the space of regulated functions

Martin Pelant, Milan Tvrdý (1993)

Mathematica Bohemica

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In the paper existence and uniqueness results for the linear differential system on the interval [0,1] $A_{1} {(A_{0} x)}^{'} - A_{2}^{'} x = f^{'}$ with distributional coefficients and solutions from the space of regulated functions are obtained.

A note on the differential equation $y^{(n)} (x) + f (x) y^{α} (x) = 0,$ $0 < α < 1$

Jozef Eliáš (1984)

Mathematica Slovaca

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Displaying similar documents to “The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations”

On distributional solutions of some systems of linear differential equations

Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation

On certain properties of a system of linear differential equations

Linear distributional differential equations in the space of regulated functions

A note on the differential equation y ( n ) ( x ) + f ( x ) y α ( x ) = 0 , 0 < α < 1

A note on the differential equation $y^{(n)} (x) + f (x) y^{α} (x) = 0,$ $0 < α < 1$