scholarly journals Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems

2010 ◽  
Vol 23 (9) ◽  
pp. 980-983 ◽  
Author(s):  
Zengji Du ◽  
Lingju Kong
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Singularly Perturbed ◽  
Asymptotic Solutions ◽  
Point Boundary ◽  
Second Order Differential Equations

SOLVABILITY OF NEUMANN TYPE NON-HOMOGENEOUS MULTI-POINT BVP FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN

2009 ◽  
Vol 07 (03) ◽  
pp. 279-295
Author(s):  
YUJI LIU
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Point Boundary ◽  
Second Order Differential Equations ◽  
Neumann Type

We consider the following multi-point boundary value problems [Formula: see text] New sufficient conditions to guarantee the existence of at least one solution of the above mentioned BVP are established. Two examples are presented to illustrate the main result.

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