JIPAM

Existence and Local Uniqueness for Nonlinear Lidstone Boundary Value Problems  
 
  Authors: Jeffrey Ehme, Johnny Henderson,  
  Keywords: Nonlinear boundary value problem, upper solution, lower solution  
  Date Received: 12/01/00  
  Date Accepted: 31/01/00  
  Subject Codes:

34B15,34A40

  
  Editors: Ravi P. Agarwal,  
 
  Abstract:

Higher order upper and lower solutions are used to establish the existence and local uniqueness of solutions to

y^{(2n)}=f(t,y,y'',dots,y^{(2n-2)})

 satisfying boundary conditions of the form


h_i(y^{(2i-2)}(0),y^{(2i-2)}(1))-y^{(2i-2)}(0)=0

;


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