scholarly journals Ulam-Hyers stability of Darboux-Ionescu problem

2021 ◽  
Vol 37 (2) ◽  
pp. 211-216
Author(s):  
DANIELA MARIAN ◽  
SORINA ANAMARIA CIPLEA ◽  
NICOLAE LUNGU
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Darboux Problem ◽  
Partial Differential ◽  
Doctoral Thesis ◽  
Rassias Stability

In his doctoral thesis, D. V. Ionescu has considered Darboux problem for partial differential equations of order two with modified argument. The Darboux-Ionescu problem was studied in some general cases by I. A. Rus. In this paper we study Ulam-Hyers stability and Ulam-Hyers-Rassias stability for this problem considered by I. A. Rus, using inequalities of Wendorff type.

scholarly journals A novel stability analysis for the Darboux problem of partial differential equations via fixed point theory

2021 ◽  
Vol 6 (11) ◽  
pp. 12894-12901
Author(s):  
El-sayed El-hady ◽  
◽  
Abdellatif Ben Makhlouf
Keyword(s):  
Fixed Point ◽  
Stability Analysis ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fixed Point Theory ◽  
Main Tool ◽  
Point Theory ◽  
Darboux Problem ◽  
Partial Differential ◽  
Stability Results

<abstract><p>We present Ulam-Hyers-Rassias (UHR) stability results for the Darboux problem of partial differential equations (DPPDEs). We employ some fixed point theorem (FPT) as the main tool in the analysis. In this manner, our results are considered as some generalized version of several earlier outcomes.</p></abstract>

scholarly journals Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform

Mathematics ◽  
2021 ◽  
Vol 9 (22) ◽  
pp. 2980
Author(s):  
Daniela Marian
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Laplace Transform ◽  
Partial Differential ◽  
Rassias Stability

In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.

scholarly journals On Ulam–Hyers Stability for a System of Partial Differential Equations of First Order

Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1060
Author(s):  
Daniela Marian ◽  
Sorina Anamaria Ciplea ◽  
Nicolaie Lungu
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Compatibility Condition ◽  
Unknown Function ◽  
Differential Inequalities ◽  
Partial Differential ◽  
First Order ◽  
Independent Variables ◽  
Rassias Stability ◽  
Two Independent Variables

The aim of this paper is to investigate generalized Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a system of partial differential equations of first order. More precisely, we consider a system of two nonlinear equations of first order with an unknown function of two independent variables, which satisfy the corresponding compatibility condition. The study method is that of differential inequalities of the Gronwall type.

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.

Ulam-Hyers-Rassias stability of some quasilinear partial differential equations of first order

2019 ◽  
Vol 35 (2) ◽  
pp. 165-170
Author(s):  
NICOLAIE LUNGU ◽  
DANIELA MARIAN ◽  
◽  
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
First Order ◽  
Quasilinear Partial Differential Equations ◽  
Rassias Stability

In this paper we investigate the Ulam-Hyers-Rassias stability for some quasilinear partial differential equations.

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