Liouvillian solutions of third order linear differential equations

1992 ◽  
Author(s):  
Michael F. Singer ◽  
Felix Ulmer
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Third Order ◽  
Order Linear ◽  
Liouvillian Solutions ◽  
Linear Differential

scholarly journals On non-homogeneous canonical third-order linear differential equations

1994 ◽  
Vol 57 (2) ◽  
pp. 138-148 ◽  
Author(s):  
N. Parhi
Keyword(s):  
Differential Equations ◽  
Linear Equations ◽  
Sufficient Conditions ◽  
Linear Differential Equations ◽  
Third Order ◽  
Order Linear ◽  
Non Linear ◽  
Linear Differential ◽  
Non Linear Equations

AbstractIn this paper sufficient conditions have been obtained for non-oscillation of non-homogeneous canonical linear differential equations of third order. Some of these results have been extended to non-linear equations.

Third Order Linear Differential Equations

1988 ◽  
Vol 72 (459) ◽  
pp. 68
Author(s):  
R. L. E. Schwarzenberger ◽  
M. Gregus
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Third Order ◽  
Order Linear ◽  
Linear Differential

scholarly journals Distributions of Zeros of Solutions for Third-Order Differential Equations with Variable Coefficients

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Samir H. Saker ◽  
Mohammed A. Arahet
Keyword(s):  
Differential Equations ◽  
Lower Bounds ◽  
Variable Coefficients ◽  
Linear Differential Equations ◽  
Third Order ◽  
Order Linear ◽  
The Third ◽  
Hardy's Inequality ◽  
Zeros Of Solutions ◽  
Linear Differential

For the third-order linear differential equations of the formr(t)x′′(t)′+p(t)x′(t)+q(t)x(t)=0, we will establish lower bounds for the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of Hardy’s inequality and some generalizations of Opial and Wirtinger type inequalities.

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