Ravi P Agarwal 
BOUNDARY VALUE PROB FOR HIGHER ORDER DIF [PDF ebook] 

Contents:

• Some Examples


• Linear Problems


• Green’s Function


• Method of Complementary Functions


• Method of Adjoints


• Method of Chasing


• Second Order Equations


• Error Estimates in Polynomial Interpolation


• Existence and Uniqueness


• Picard’s and Approximate Picard’s Method


• Quasilinearization and Approximate Quasilinearization


• Best Possible Results: Weight Function Technique


• Best Possible Results: Shooting Methods


• Monotone Convergence and Further Existence


• Uniqueness Implies Existence


• Compactness Condition and Generalized Solutions


• Uniqueness Implies Uniqueness


• Boundary Value Functions


• Topological Methods


• Best Possible Results: Control Theory Methods


• Matching Methods


• Maximal Solutions


• Maximum Principle


• Infinite Interval Problems


• Equations with Deviating Arguments