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Some initial boundary value problems for a difference-differential equation of mixed type (Q1375004)

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scientific article; zbMATH DE number 1099467
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English
Some initial boundary value problems for a difference-differential equation of mixed type
scientific article; zbMATH DE number 1099467

    Statements

    Some initial boundary value problems for a difference-differential equation of mixed type (English)
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    18 June 1998
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    I first set up and solve two initial boundary value problems for the Lavrent'ev-Bitsadze equation with delayed argument \[ u_{xx} (x,y)+ \text{sgn} y u_{yy} (x,y)- H(x)u (x-\tau,y) =0 \] in domains of a special kind; \(0<\tau \equiv \text{const}\), and \(H(\xi)\) is the Heaviside function.
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    separation of variables
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    Lavrent'ev-Bitsadze equation
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    delayed argument
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