scholarly journals ON THE EXPONENTIAL CHEBYSHEV APPROXIMATION IN UNBOUNDED DOMAINS: A COMPARISON STUDY FOR SOLVING HIGH-ORDER ORDINARY DIFFERENTIAL EQUATIONS

2015 ◽  
Vol 105 (3) ◽  
Author(s):  
M.A. Ramadan ◽  
K.R. Raslan ◽  
T.S. El Danaf ◽  
M.A. Abd El Salam
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Unbounded Domains ◽  
Chebyshev Approximation ◽  
High Order ◽  
Comparison Study

scholarly journals On Conjugacy of High-Order Linear Ordinary Differential Equations

1994 ◽  
Vol 1 (1) ◽  
pp. 1-8
Author(s):  
T. Chanturia
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
High Order ◽  
Summable Function ◽  
Order Linear ◽  
Linear Ordinary Differential Equations

Abstract It is shown that the differential equation u (n) = p(t)u, where n ≥ 2 and p : [a, b] → ℝ is a summable function, is not conjugate in the segment [a, b], if for some l ∈ {1, . . . , n – 1}, α ∈]a, b[ and β ∈]α, b[ the inequalities hold.

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