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Many-point boundary-value problem for some differential-operational equations - MaRDI portal

Many-point boundary-value problem for some differential-operational equations (Q1338469)

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scientific article; zbMATH DE number 698620
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Many-point boundary-value problem for some differential-operational equations
scientific article; zbMATH DE number 698620

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    Many-point boundary-value problem for some differential-operational equations (English)
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    2 April 1995
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    A linear differential equation of special form together with three point boundary value conditions is considered in a Hilbert space. The problem of existence and uniqueness of strong solutions for this BVP is investigated by means of the method of energy inequalities. Continuous dependence of the obtained solution on equation's coefficients is proved.
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    continuous dependence
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    linear differential equation
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    three point boundary value conditions
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    Hilbert space
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    existence
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    uniqueness
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    energy inequalities
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