ON THE SUMMABILITY OF POSITIVE SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER IN A NEIGHBORHOOD OF A CHARACTERISTIC MANIFOLD

1976 ◽  
Vol 28 (4) ◽  
pp. 521-531
Author(s):  
V A Kondrat'ev ◽  
S D Èĭdel'man
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Positive Solutions ◽  
Arbitrary Order ◽  
Partial Differential ◽  
Characteristic Manifold

scholarly journals Existence of Positive Solutions and Its Asymptotic Behavior of (p(x), q(x))-Laplacian Parabolic System

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 332 ◽  
Author(s):  
Hamza Medekhel ◽  
Salah Boulaaras ◽  
Khaled Zennir ◽  
Ali Allahem
Keyword(s):  
Asymptotic Behavior ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Parabolic System ◽  
Stationary Case ◽  
Partial Differential ◽  
Existence Of Positive Solutions

This paper deals with the existence of positively solution and its asymptotic behavior for parabolic system of ( p ( x ) , q ( x ) ) -Laplacian system of partial differential equations using a sub and super solution according to some given boundary conditions, Our result is an extension of Boulaaras’s works which studied the stationary case, this idea is new for evolutionary case of this kind of problem.

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