Second Order Quasilinear Equations of Mixed Type

2002 ◽  
pp. 200-239
Author(s):  
Guo Chun Wen
Keyword(s):  
Mixed Type ◽  
Second Order ◽  
Quasilinear Equations ◽  
Equations Of Mixed Type

scholarly journals Oscillation Criteria for Certain Second-Order Nonlinear Neutral Differential Equations of Mixed Type

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Zhenlai Han ◽  
Tongxing Li ◽  
Chenghui Zhang ◽  
Ying Sun
Keyword(s):  
Differential Equations ◽  
Mixed Type ◽  
Second Order ◽  
Oscillation Criteria ◽  
Neutral Differential Equations ◽  
Equations Of Mixed Type ◽  
Positive Integers

Some oscillation criteria are established for the second-order nonlinear neutral differential equations of mixed type[(x(t)+p1x(t−τ1)+p2x(t+τ2))γ]′​′=q1(t)xγ(t−σ1)+q2(t)xγ(t+σ2),t≥t0, whereγ≥1is a quotient of odd positive integers. Our results generalize the results given in the literature.

scholarly journals Oscillation results for second-order neutral differential equations of mixed type

2011 ◽  
Vol 48 (1) ◽  
pp. 101-116 ◽  
Author(s):  
Tongxing Li ◽  
Blanka Baculíková ◽  
Jozef Džurina
Keyword(s):  
Differential Equations ◽  
Mixed Type ◽  
Second Order ◽  
Order Linear ◽  
Neutral Differential Equations ◽  
Equations Of Mixed Type ◽  
Oscillation Theorems

Abstract Some oscillation theorems are established for the second-order linear neutral differential equations of mixed type Several examples are also provided to illustrate the main results.

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