HIGHER-ORDER ASYMPTOTIC FORMULA FOR THE EIGENVALUES OF STURM-LIOUVILLE PROBLEM WITH INDEFINITE WEIGHT FUNCTION IN THE CASE OF Y (A) = Y′(B) = 0, Y′(A) = Y (B) = 0

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Dastmalchi Saei F.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

HIGHER-ORDER ASYMPTOTIC FORMULA FOR THE EIGENVALUES OF STURM-LIOUVILLE PROBLEM WITH INDEFINITE WEIGHT FUNCTION IN THE CASE OF Y (A) = Y′(B) = 0, Y′(A) = Y (B) = 0

Author(s)

Dastmalchi Saei F.

Keywords

STURM-LIOUVILLE PROBLEM

EIGENVALUES

ASYMPTOTIC

Abstract

IN THIS PAPER, WE INVESTIGATE THE ASYMPTOTIC BEHAVIOR OF THE DIFFERENTIAL EQUATION (FORMOLA) WHERE [0, 1] CONTAINS A FINITE NUMBER OF ZEROS OF R(X), L IS A REAL PARAMETER AND THE FUNCTION Q(X) IS BOUNDED AND INTEGRABLE IN [0, 1]. USING A TECHNIQUE USED PREVIOUSLY IN [7], WE DERIVE THE HIGHER-ORDER ASYMPTOTIC DISTRIBUTION OF THE POSITIVE EIGENVALUES ASSOCIATED WITH THIS EQUATION FOR THE SLP (IN THE BOUNDARY CONDITION OF, Y (0) = Y′(1) = 0 OR Y′(0) = Y (1) = 0).

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APA: Copy

Dastmalchi Saei, F.. (2012). HIGHER-ORDER ASYMPTOTIC FORMULA FOR THE EIGENVALUES OF STURM-LIOUVILLE PROBLEM WITH INDEFINITE WEIGHT FUNCTION IN THE CASE OF Y (A) = Y?(B) = 0, Y?(A) = Y (B) = 0. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/926330/en

Vancouver: Copy

Dastmalchi Saei F.. HIGHER-ORDER ASYMPTOTIC FORMULA FOR THE EIGENVALUES OF STURM-LIOUVILLE PROBLEM WITH INDEFINITE WEIGHT FUNCTION IN THE CASE OF Y (A) = Y?(B) = 0, Y?(A) = Y (B) = 0. 2012. Available from: https://sid.ir/paper/926330/en

IEEE: Copy

F. Dastmalchi Saei, “HIGHER-ORDER ASYMPTOTIC FORMULA FOR THE EIGENVALUES OF STURM-LIOUVILLE PROBLEM WITH INDEFINITE WEIGHT FUNCTION IN THE CASE OF Y (A) = Y?(B) = 0, Y?(A) = Y (B) = 0,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/926330/en

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