scholarly journals Hyers–Ulam Stability for Differential Equations and Partial Differential Equations via Gronwall Lemma

2020 ◽  
pp. 59-69
Author(s):  
Sorina Anamaria Ciplea ◽  
Daniela Marian ◽  
Nicolaie Lungu ◽  
Themistocles M. Rassias
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Gronwall Lemma ◽  
Ulam Stability ◽  
Partial Differential

scholarly journals Ulam-Hyers-Rassias stability of pseudoparabolic partial differential equations

2015 ◽  
Vol 31 (2) ◽  
pp. 233-240
Author(s):  
NICOLAIE LUNGU ◽  
◽  
SORINA ANAMARIA CIPLEA ◽  
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Ulam Stability ◽  
Partial Differential ◽  
New Applications ◽  
Rassias Stability

The aim of this paper is to give some types of Ulam stability for a pseudoparabolic partial differential equation. In this case we consider Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability. We investigate some new applications of the Gronwall lemmas to the Ulam stability of a nonlinear pseudoparabolic partial differential equations.

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