scholarly journals Existence and uniqueness results for discrete second-order periodic boundary value problems

2003 ◽  
Vol 45 (6-9) ◽  
pp. 1417-1427 ◽  
Author(s):  
F.M. Atici ◽  
A. Cabada
Keyword(s):  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Periodic Boundary Value Problems

scholarly journals Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Jia Mu ◽  
Hongxia Fan
Keyword(s):  
Existence And Uniqueness ◽  
Periodic Boundary ◽  
Evolution Equations ◽  
Mild Solutions ◽  
Boundary Value ◽  
Fractional Evolution Equations ◽  
Existence And Uniqueness Results ◽  
Monotone Iterative ◽  
Uniqueness Results ◽  
Periodic Boundary Value Problems

The periodic boundary value problem is discussed for a class of fractional evolution equations. The existence and uniqueness results of mild solutions for the associated linear fractional evolution equations are established, and the spectral radius of resolvent operator is accurately estimated. With the aid of the estimation, the existence and uniqueness results of positive mild solutions are obtained by using the monotone iterative technique. As an application that illustrates the abstract results, an example is given.

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