Non-Linear Differential Equations of Higher Order (R. Reissig, G. Sansone and R. Conti)

SIAM Review ◽  
1976 ◽  
Vol 18 (1) ◽  
pp. 143-144
Author(s):  
A. M. Fink
Keyword(s):  
Differential Equations ◽  
Higher Order ◽  
Linear Differential Equations ◽  
Non Linear ◽  
Linear Differential

scholarly journals Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 346 ◽  
Author(s):  
Saad Althobati ◽  
Omar Bazighifan ◽  
Mehmet Yavuz
Keyword(s):  
Differential Equations ◽  
Comparison Method ◽  
Higher Order ◽  
Linear Differential Equations ◽  
Middle Term ◽  
Oscillation Criteria ◽  
First Order ◽  
Non Linear ◽  
Linear Differential ◽  
Higher Order Differential Equations

In this work, we present new oscillation conditions for the oscillation of the higher-order differential equations with the middle term. We obtain some oscillation criteria by a comparison method with first-order equations. The obtained results extend and simplify known conditions in the literature. Furthermore, examining the validity of the proposed criteria is demonstrated via particular examples.

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.

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