Transformasi Laplace fungsi bernilai vektor

SUSANTO, Marliadi, Prof.Dr. Soeparna Darmawijaya

2007 | Tesis | S2 Matematika

Tesis ini membicarakan dua masalah utama, yaitu integral McShane fungsi bernilai Banach dan transformasi Laplace fungsi bernilai vektor. Dalam hal ini, dikaji definisi dan sifat-sifat integral McShane fungsi bernilai Banach. Selanjutnya, didefinisikan transformasi Laplace fungsi bernilai vektor berdasarkan integral McShane tersebut di atas. Lebih lanjut, diberikan sifat-sifat transformasi Laplace fungsi bernilai vektor yang disertai dengan bukti.

This thesis discusses two main idea, McShane integral for Banach valued functions and Laplace transforms for vector valued functions. Definition and McShane integral properties are elaborated, then based on those definition and properties, it is defined Laplace transforms for vector valued functions. Further more, some properties of Laplace transforms for vector valued functions and it’s proof are presented too.

Kata Kunci : Integral McShane,Fungsi Bernilai Banach