scholarly journals Linear convolution integral equations with asymptotically almost periodic solutions

1980 ◽  
Vol 78 (3) ◽  
pp. 337-337 ◽  
Author(s):  
G. S. Jordan ◽  
W. R. Madych ◽  
R. L. Wheeler
Keyword(s):  
Periodic Solutions ◽  
Integral Equations ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Convolution Integral ◽  
Linear Convolution ◽  
Convolution Integral Equations ◽  
Asymptotically Almost Periodic

scholarly journals Asymptotically almost periodic solutions of fractional relaxation inclusions with Caputo derivatives

2018 ◽  
Vol 104 (118) ◽  
pp. 23-41 ◽  
Author(s):  
Marko Kostic
Keyword(s):  
Fixed Point ◽  
Periodic Solutions ◽  
Fixed Point Theorems ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Periodic Coefficients ◽  
Sectorial Operators ◽  
Almost Sectorial Operators ◽  
Fractional Relaxation ◽  
Asymptotically Almost Periodic

We analyze asymptotically almost periodic solutions for a class of (semilinear) fractional relaxation inclusions with Stepanov almost periodic coefficients. As auxiliary tools, we use subordination principles, fixed point theorems and the well known results on the generation of infinitely differentiable degenerate semigroups with removable singularities at zero. Our results are well illustrated and seem to be not considered elsewhere even for fractional relaxation equations with almost sectorial operators.

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