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SINIR KOŞULUNDA SPEKTRAL PARAMETRE BULUNAN MATRİS KATSAYILI SINIR DEĞER PROBLEMİ ÜZERİNE

ON A BOUNDARY VALUE PROBLEM WITH MATRIX COEFFICIENT WHICH HAS SPECTRAL PARAMETER IN BOUNDARY CONDITION

Journal Name:

  • Sigma Mühendislik ve Fen Bilimleri Dergisi

Publication Year:

  • 2008

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper following boundary value problem is considered. y Q(x)y R(x)y '' − + = λ , a < x <b ( ) '( ) ( ) ( ) 0 1 2 ' y b y b y b y x β − β = λα = Here Q(x),R(x) is n×n self-adjoint matrix functions, R(x)is positive matrix , 1 2 α ,β ,β are constants satisfy some conditions and λ is a spectral parameter.The spectrum of considered boundary value problem is investigated and the expansion formulas according to eigenvalues are obtained.
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Abstract (Original Language): 
Bu çalışmada aşağıdaki sınır değer problemi ele alınmıştır. y Q(x)y R(x)y '' − + = λ , a < x < b ( ) '( ) ( ) ( ) 0 1 2 ' y b y b y b y x β − β = λα = Burada Q(x),R(x) n×n boyutlu kendine eş matrisler, R(x) pozitif matris 1 2 α ,β ,β bazı koşulları sağlayan sabit sayılar,λ spektral parametredir. Ele alınan sınır değer probleminin spektrumu incelenmiş, özfonksiyonlara göre açılım formülleri elde edilmiştir.
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  • 3
175-190
  • Turkish

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