scholarly journals Oscillation theorems for differential equations with a nonlinear damping term

2003 ◽  
Vol 279 (1) ◽  
pp. 121-134 ◽  
Author(s):  
Svitlana P. Rogovchenko ◽  
Yuri V. Rogovchenko
Keyword(s):  
Differential Equations ◽  
Nonlinear Damping ◽  
Damping Term ◽  
Oscillation Theorems

scholarly journals OSCILLATION THEOREMS FOR NONLINEAR SECOND ORDER DIFFERENCE EQUATIONS WITH A NONLINEAR DAMPING TERM

1995 ◽  
Vol 26 (1) ◽  
pp. 49-58
Author(s):  
E. THANDAPANI ◽  
S. PANDIAN
Keyword(s):  
Difference Equations ◽  
Sufficient Conditions ◽  
Nonlinear Damping ◽  
Second Order ◽  
Damping Term ◽  
Order Difference ◽  
Oscillation Theorems

Some new sufficient conditions for the oscillation of the nonlinear damped second order difference equations of the form \[\Delta^2 y_n+p_n\phi(y_n, \Delta y_n)+q_nf(y_{n+1})g(\Delta y_n)=0\] are given.

scholarly journals Amended oscillation criteria for second-order neutral differential equations with damping term

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Osama Moaaz ◽  
George E. Chatzarakis ◽  
Thabet Abdeljawad ◽  
Clemente Cesarano ◽  
Amany Nabih
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Application Area ◽  
Damping Term ◽  
Oscillation Criteria ◽  
Neutral Differential Equations

Abstract The aim of this work is to improve the oscillation results for second-order neutral differential equations with damping term. We consider the noncanonical case which always leads to two independent conditions for oscillation. We are working to improve related results by simplifying the conditions, based on taking a different approach that leads to one condition. Moreover, we obtain different forms of conditions to expand the application area. An example is also given to demonstrate the applicability and strength of the obtained conditions over known ones.

scholarly journals Oscillation theorems for second order nonlinear forced differential equations

SpringerPlus ◽  
2014 ◽  
Vol 3 (1) ◽  
Author(s):  
Ambarka A Salhin ◽  
Ummul Khair Salma Din ◽  
Rokiah Rozita Ahmad ◽  
Mohd Salmi Md Noorani
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Oscillation Theorems
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