FUNGSI EVANS, SIFAT-SIFAT DAN APLIKASINYA PADA PELACAKAN NILAI EIGEN DARI MASALAH STURM-LIOUVILLE

Authors

  • Hilda Fahlena
  • Mahdhivan Syafwan
  • Admi Nazra

DOI:

https://doi.org/10.25077/jmu.4.1.23-30.2015

Abstract

Pada paper ini dikonstruksi dan didenisikan fungsi Evans pada masalah
Sturm-Liouville. Beberapa sifat-sifat fungsi Evans juga dibuktikan, yaitu: (i) nilai nolnya
berkaitan dengan nilai eigen, (ii) analitik untuk semua nilai eigen yang bernilai kompleks,
dan (iii) mempunyai simple zeros pada kasus khusus dari masalah Sturm-Liouville. Sifatsifat
fungsi Evans tersebut kemudian diterapkan untuk melacak nilai eigen dari masalah
Sturm-Liouville.

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Published

04-03-2015

Issue

Vol. 4 No. 1 (2015)

Section

Articles

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