scholarly journals Determination of an optimal mesh for a collocation-projection method for solving two-point boundary value problems

1979 ◽  
Vol 25 (1) ◽  
pp. 38-49 ◽  
Author(s):  
Manohar L Athavale ◽  
Grace Wahba
Keyword(s):  
Boundary Value Problems ◽  
Projection Method ◽  
Boundary Value ◽  
Point Boundary ◽  
Optimal Mesh

scholarly journals Shooting-projection method for two-point boundary value problems

2017 ◽  
Vol 72 ◽  
pp. 10-15 ◽  
Author(s):  
Stefan M. Filipov ◽  
Ivan D. Gospodinov ◽  
István Faragó
Keyword(s):  
Boundary Value Problems ◽  
Projection Method ◽  
Boundary Value ◽  
Point Boundary

scholarly journals Existence of Multiple Positive Solutions for Even Order Multi-Point Boundary Value Problems

2007 ◽  
Vol 14 (4) ◽  
pp. 775-792
Author(s):  
Youyu Wang ◽  
Weigao Ge
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Multiple Positive Solutions ◽  
Point Boundary ◽  
Even Order

Abstract In this paper, we consider the existence of multiple positive solutions for the 2𝑛th order 𝑚-point boundary value problem: where (0,1), 0 < ξ 1 < ξ 2 < ⋯ < ξ 𝑚–2 < 1. Using the Leggett–Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The associated Green's function for the above problem is also given.

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