Smoothness of generalized solutions of boundary value problems for certain degenerate nonlinear ordinary differential equations

1998 ◽  
Vol 63 (6) ◽  
pp. 777-784
Author(s):  
Yu. D. Salmanov
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Generalized Solutions ◽  
Nonlinear Ordinary Differential Equations ◽  
Smoothness Of Generalized Solutions

scholarly journals Boundary-value problems for weakly nonlinear ordinary differential equations

1976 ◽  
Vol 15 (3) ◽  
pp. 321-328 ◽  
Author(s):  
E.N. Dancer
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Nonlinear Ordinary Differential Equations ◽  
Weakly Nonlinear ◽  
Periodic Boundary Value Problems ◽  
Degenerate Cases

In this paper, we announce results on the Dirichlet and periodic boundary-value problems for the equation -x″(t) = g(x(t)) – f(t) on [0, π]. We consider degenerate cases not covered by the author's earlier work.

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