On a degenerate mixed-type boundary value problem to the 2-D steady Euler equation

2019 ◽  
Vol 267 (11) ◽  
pp. 6265-6289 ◽  
Author(s):  
Fengyan Li ◽  
Yanbo Hu
Keyword(s):  
Boundary Value Problem ◽  
Euler Equation ◽  
Mixed Type ◽  
Boundary Value ◽  
Type Boundary

scholarly journals Existence theory and stability analysis to a coupled nonlinear fractional mixed boundary value problem

2021 ◽  
Author(s):  
Shahid Saifullah ◽  
Akbar Zada ◽  
Sumbel Shahid
Keyword(s):  
Boundary Value Problem ◽  
Mixed Type ◽  
Fixed Point Theorems ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Coupled System ◽  
Existence Theory ◽  
Nonlinear Coupled System ◽  
Fractional Differential ◽  
Type Boundary

In this manuscript, we conclude a comprehensive approach to a class of nonlinear coupled system of fractional differential equations with mixed type boundary value problem. Subsequently, the solution of coupled system exists and unique under mixed type boundary value conditions with the reference of Schaefer and Banach fixed-point theorems. Further, we developed the Hyers- Ulam stability for the considered problem. Finally, we set an example for the support of our results.

On a Frankl-Type Boundary-Value Problem for a Mixed-Type Degenerating Equation

2020 ◽  
Vol 71 (10) ◽  
pp. 1541-1554
Author(s):  
B. I. Islomov ◽  
N. K. Ochilova ◽  
K. S. Sadarangani
Keyword(s):  
Boundary Value Problem ◽  
Mixed Type ◽  
Boundary Value ◽  
Type Boundary

scholarly journals Lidstone–Euler Second-Type Boundary Value Problems: Theoretical and Computational Tools

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Francesco Aldo Costabile ◽  
Maria Italia Gualtieri ◽  
Anna Napoli
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Interpolation Problem ◽  
Boundary Value ◽  
Computational Tools ◽  
Numerical Examples ◽  
Odd Order ◽  
Uniqueness Of The Solution ◽  
Type Boundary

AbstractGeneral nonlinear high odd-order differential equations with Lidstone–Euler boundary conditions of second type are treated both theoretically and computationally. First, the associated interpolation problem is considered. Then, a theorem of existence and uniqueness of the solution to the Lidstone–Euler second-type boundary value problem is given. Finally, for a numerical solution, two different approaches are illustrated and some numerical examples are included to demonstrate the validity and applicability of the proposed algorithms.

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