scholarly journals Positive solutions to singular boundary value problems for fractional functional differential equations with changing sign nonlinearity

2012 ◽  
Vol 64 (10) ◽  
pp. 3425-3435 ◽  
Author(s):  
Xinwei Su
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Singular Boundary ◽  
Singular Boundary Value Problems ◽  
Functional Differential ◽  
Fractional Functional Differential Equations ◽  
Fractional Functional

On Singular Boundary Value Problems for Functional Differential Equations of Higher Order

2001 ◽  
Vol 8 (4) ◽  
pp. 791-814
Author(s):  
I. Kiguradze ◽  
B. Půža ◽  
I. P. Stavroulakis
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Singular Boundary ◽  
Dimensional Vector ◽  
Singular Boundary Value Problems ◽  
Functional Differential

Abstract Sufficient conditions are established for the solvability of the boundary value problem 𝑥(𝑛) (𝑡) = 𝑓(𝑥)(𝑡), ℎ𝑖(𝑥) = 0 (𝑖 = 1, . . . , 𝑛), where 𝑓 is an operator (ℎ𝑖 (𝑖 = 1, . . . , 𝑛) are operators) acting from some subspace of the space of (𝑛 – 1)-times differentiable on the interval ]𝑎, 𝑏[ 𝑚-dimensional vector functions into the space of locally integrable on ]𝑎, 𝑏[ 𝑚-dimensional vector functions (into the space ).

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