Asymptotic representation of solutions of a system of linear integrodifferential equations of rational rank

1976 ◽  
Vol 28 (2) ◽  
pp. 169-177 ◽  
Author(s):  
N. I. Shkil' ◽  
A. N. Voronoi
Keyword(s):  
Asymptotic Representation ◽  
Integrodifferential Equations ◽  
Asymptotic Representation Of Solutions ◽  
Representation Of Solutions ◽  
Rational Rank

scholarly journals Asymptotic behavior of the solutions of a discrete reaction-diffusion equation

2002 ◽  
Vol 29 (5) ◽  
pp. 257-264
Author(s):  
Rigoberto Medina ◽  
Sui Sun Cheng
Keyword(s):  
Asymptotic Behavior ◽  
Diffusion Equation ◽  
Asymptotic Representation ◽  
Sufficient Conditions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Asymptotic Representation Of Solutions ◽  
Representation Of Solutions

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.

scholarly journals On the Uniqueness Theorems for the External Problems of the Couple-Stress Theory of Elasticity

1994 ◽  
Vol 1 (2) ◽  
pp. 127-140
Author(s):  
T. Buchukuri ◽  
T. Gegelia
Keyword(s):  
Asymptotic Representation ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Theory Of Elasticity ◽  
External Boundary ◽  
Uniqueness Theorems ◽  
Stress Theory ◽  
Asymptotic Representation Of Solutions ◽  
Representation Of Solutions ◽  
Basic Equations

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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