The Averaging Method for Partial Differential Equations (Homogenization) and Its Applications

1999 ◽  
pp. 211-239 ◽  
Author(s):  
N. S. Bakhvalov ◽  
G. P. Panasenko ◽  
A. L. Shtaras
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Averaging Method ◽  
Partial Differential

scholarly journals Oscillation Properties for Second-Order Partial Differential Equations with Damping and Functional Arguments

2011 ◽  
Vol 2011 ◽  
pp. 1-14
Author(s):  
Run Xu ◽  
Yuhua Lu ◽  
Fanwei Meng
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Averaging Method ◽  
Second Order ◽  
Partial Differential ◽  
Riccati Technique ◽  
Oscillation Criteria ◽  
Generalized Riccati Technique ◽  
High Degree ◽  
Oscillation Properties

Using an integral averaging method and generalized Riccati technique, by introducing a parameterβ≥1, we derive new oscillation criteria for second-order partial differential equations with damping. The results are of high degree of generality and sharper than most known ones.

scholarly journals A Parabolic Transform and Averaging Methods for General Partial Differential Equations

2019 ◽  
Vol 17 ◽  
pp. 352-361
Author(s):  
Mahmoud Mohammed Mostafa El-Borai ◽  
Hamed Kamal Awad Awad ◽  
Randa Hamdy. M. Ali Ali
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Differential Operators ◽  
Averaging Method ◽  
Partial Differential ◽  
Averaging Methods ◽  
Partial Differential Operators ◽  
Existence And Stability ◽  
Special Case ◽  
Stability Results

Averaging method of the fractional general partial differential equations and a special case of these equations are studied, without any restrictions on the characteristic forms of the partial differential operators. We use the parabolic transform, existence and stability results can be obtained.

Partial Differential Equations

2020 ◽  
Author(s):  
A. K. Nandakumaran ◽  
P. S. Datti
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential
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