On the Theory of Integral Manifolds for Some Delayed Partial Differential Equations with Nondense Domain

2020 ◽  
Vol 72 (6) ◽  
pp. 900-916
Author(s):  
C. Jendoubi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Integral Manifolds

scholarly journals On the integrability problem for systems of partial differential equations in one unknown function, II

2019 ◽  
Vol 12 (1) ◽  
pp. 1-40
Author(s):  
Antonio Kumpera
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Equivalence Problem ◽  
Maximal Dimension ◽  
Suitable Model ◽  
Integration Process ◽  
Partial Differential ◽  
Integrability Problem ◽  
Integral Manifolds ◽  
Local Equivalence

We continue here our discussion of Part I, [18], by examining the local equivalence problem for partial differential equations and illustrating it with some examples, since almost any integration process or method is actually a local equivalence problem involving a suitable model. We terminate the discussion by inquiring on non-integrable Pfaffian systems and on their integral manifolds of maximal dimension.

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