Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations

1989 ◽  
Vol 112 (1-2) ◽  
pp. 145-153 ◽  
Author(s):  
Alessandro Fonda ◽  
Jean Mawhin
Keyword(s):  
Differential Equations ◽  
Variational Methods ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Quadratic Forms ◽  
Eigenvalue Problems ◽  
Boundary Value ◽  
Second Order ◽  
Non Linear

SynopsisSome known results for different kinds of boundary value problems for second order ordinary differential equations are generalised. Different approaches are compared with one another, using topological and variational methods and the theory of weighted eigenvalue problems.

Boundary value problems on noncompact intervals

1995 ◽  
Vol 125 (4) ◽  
pp. 777-799 ◽  
Author(s):  
Donal O'Regan
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Existence Results ◽  
Second Order

Existence results are established for second-order boundary value problems for ordinary differential equations on non-compact intervals.

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