scholarly journals An Existence Theorem for a Nonlinear Boundary Value Problem of Fourth Order

1993 ◽  
Vol 174 (2) ◽  
pp. 317-326
Author(s):  
G.L. Chen
Keyword(s):  
Boundary Value Problem ◽  
Existence Theorem ◽  
Fourth Order ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problem ◽  
Nonlinear Boundary Value

scholarly journals MAXIMUM PRINCIPLE AND THE FOURTH ORDER BOUNDARY VALUE PROBLEM

2011 ◽  
Vol 16 (1) ◽  
pp. 143-152
Author(s):  
Inara Yermachenko
Keyword(s):  
Maximum Principle ◽  
Boundary Value Problem ◽  
Fourth Order ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problem ◽  
Nonlinear Boundary Value ◽  
Lower And Upper Functions

This paper is devoted to the study the nonlinear boundary value problem . We state a maximum principle related with the operator and apply it to prove the existence and approximation of solutions to the problem (i), (ii), in presence of properly ordered lower and upper functions.

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