Weighted pseudo-almost periodic solutions of a class of abstract differential equations

2009 ◽  
Vol 71 (9) ◽  
pp. 3705-3714 ◽  
Author(s):  
Liuwei Zhang ◽  
Yuantong Xu
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Abstract Differential Equations ◽  
Pseudo Almost Periodic Solutions ◽  
Pseudo Almost Periodic

scholarly journals WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME ABSTRACT DIFFERENTIAL EQUATIONS WITH UNIFORM CONTINUITY

2010 ◽  
Vol 82 (3) ◽  
pp. 424-436 ◽  
Author(s):  
LI-LI ZHANG ◽  
HONG-XU LI
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Uniform Continuity ◽  
Continuity Condition ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Abstract Differential Equations ◽  
Pseudo Almost Periodic Solutions ◽  
Pseudo Almost Periodic ◽  
Composition Theorem

AbstractIn this work, we give some theorems on (mild) weighted pseudo-almost periodic solutions for some abstract semilinear differential equations with uniform continuity. To facilitate this we give a new composition theorem of weighted pseudo-almost periodic functions. Our composition theorem improves the known one by making use of a uniform continuity condition instead of the Lipschitz condition.

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