Teorema titik tetap Leggett-Williams pada masalah syarat batas tiga titik

PURWANTININGSIH, Yustina Titin, Dr. Lina Aryati, MS

2006 | Tesis | S2 Matematika

Dalam tesis ini dibahas Teorema titik tetap Leggett-Williams yang pembuktiannya berdasar pada indeks titik tetap Leray-Schauder. Di samping itu juga dikaji penerapan Teorema titik tetap Leggett-Williams untuk membuktikan eksistensi tiga penyelesaian pada masalah syarat batas tiga titik order dua.

This thesis discusses Leggett-Williams fixed point theorem, elaborating proofs with Leray-Schauder fixed point index. Besides, the application of the Leggett-Williams fixed point theorem is explained in order to provide evidence in support of the existence of triple solutions to the second-order three-point boundary value problems.

Kata Kunci : Indeks Titik Tetap Leray,Schauder,Titik Tetap Leggett Wiliams, Fixed point index, Cone, Leggett-Williams Fixed point and Three point Boundary Value Problems.