scholarly journals A converse of the Jordan-Brouwer Theorem for quasi-regular immersions

1996 ◽  
Vol 40 (1) ◽  
pp. 108-114
Author(s):  
Osamu Saeki
Keyword(s):  
Brouwer Theorem

scholarly journals A converse of the Jordan-Brouwer theorem

1992 ◽  
Vol 36 (3) ◽  
pp. 500-504 ◽  
Author(s):  
C. Biasi ◽  
M.C. Romero Fuster
Keyword(s):  
Brouwer Theorem

scholarly journals Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Danfeng Luo ◽  
Zhiguo Luo ◽  
Hongjun Qiu
Keyword(s):  
Fractional Order ◽  
Contraction Mapping Principle ◽  
Delay Difference Equation ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Brouwer Theorem ◽  
Delay Difference Equations ◽  
Delay Difference ◽  
New Criteria ◽  
Nonlinear Delay

This paper focuses on a kind of mixed fractional-order nonlinear delay difference equations with parameters. Under some new criteria and by applying the Brouwer theorem and the contraction mapping principle, the new existence and uniqueness results of the solutions have been established. In addition, we deduce that the solution of the addressed equation is Hyers–Ulam stable. Some results in the literature can be generalized and improved. As an application, three typical examples are delineated to demonstrate the effectiveness of our theoretical results.

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