國立清華大學開放式課程OpenCourseWare(NTHU, OCW) - 第25講 Chapter 7 : Sturm’s Comparision Theorem and Sturm-Liouville BVP

Array ( [0] => Array ( [title] => L25A [link] => https://www.youtube.com/embed/lYGNbb4e2bs ) [1] => Array ( [title] => L25B [link] => https://www.youtube.com/embed/0xco7TTGyec ) ) 國立清華大學開放式課程OpenCourseWare(NTHU, OCW) - 第25講 Chapter 7 : Sturm’s Comparision Theorem and Sturm-Liouville BVP

國立清華大學開放式課程

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03-5715131#35401 mengfen@mx.nthu.edu.tw 吳小姐

國立清華大學開放式課程

Title

第25講 Chapter 7 : Sturm’s Comparision Theorem and Sturm-Liouville BVP

第1節

L25A

第2節

L25B

Syllabus

章節大綱

L25_A
Scaling
Sturm’s comparision theorem
Example

L25_B
Stability of u*(x)
Two-point boundary value problem
Stability analysis of u*(x)
Sturm-Liouville Theorem
Characterization of principal eigenvalue by variation method
Green’s function
Superposition principle
Distribution
Definition of testing functions
Example