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Even order differential equations with measures as coefficients. (English) Zbl 0964.34011

Summary: The author deals with differential equations with Borel measures as coefficients. The problem of existence and uniqueness of solutions is discussed. The Ritz-Galerkin method is used for determining approximate solutions.

MSC:

34B05 Linear boundary value problems for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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References:

[1] Descloux J.: Méthode des élémentes fìnis. Rusian edition, Mir, Moscow, 1976.
[2] Kierat W., Sztaba U.: Differential equations of the second order with measures as coeffìcients. Mathematica Silesiana (1994)
[3] Sikorski R.: Real functions. Polish edition, PWN Warsaw, 1958, volume II.
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