Construction of periodic solutions of boundary value problems for parabolic equations by the method of straight lines

1969 ◽  
Vol 12 (11) ◽  
pp. 1292-1298
Author(s):  
A. P. Mal'tsev
Keyword(s):  
Boundary Value Problems ◽  
Periodic Solutions ◽  
Parabolic Equations ◽  
Boundary Value ◽  
Method Of Straight Lines ◽  
Straight Lines

scholarly journals Almost periodic solutions to systems of parabolic equations

1994 ◽  
Vol 7 (4) ◽  
pp. 581-586 ◽  
Author(s):  
Janpou Nee
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problems ◽  
Periodic Solutions ◽  
Linear Function ◽  
Parabolic Equations ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Systems Of Parabolic Equations

In this paper we show that the second-order differential solution is 𝕃2-almost periodic, provided it is 𝕃2-bounded, and the growth of the components of a non-linear function of a system of parabolic equation is bounded by any pair of con-secutive eigenvalues of the associated Dirichlet boundary value problems.

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