asymptotic representation of solutions
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2008 ◽  
Vol 10 (06) ◽  
pp. 1151-1181
Author(s):  
ELENA I. KAIKINA

We study the initial-boundary value problem for the fractional Landau–Ginzburg equations on a segment. The aim of this paper is to prove the global existence of solutions to the inital-boundary value problem and to find the main term of the asymptotic representation of solutions.


2002 ◽  
Vol 29 (5) ◽  
pp. 257-264
Author(s):  
Rigoberto Medina ◽  
Sui Sun Cheng

By means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction-diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.


1994 ◽  
Vol 1 (2) ◽  
pp. 127-140
Author(s):  
T. Buchukuri ◽  
T. Gegelia

Abstract A formula is obtained for the asymptotic representation of solutions of the basic equations of the couple-stress theory of elasticity. The formula is used in proving the uniqueness theorems of the external boundary value problems.


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