A Fitted Second-Order Difference Method for a Parameterized Problem with Integral Boundary Condition Exhibiting Initial Layer

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Mustafa Kudu ◽  
Ilhame Amirali ◽  
Gabil M. Amiraliyev
Keyword(s):  
Boundary Condition ◽  
Difference Method ◽  
Second Order ◽  
Integral Boundary Condition ◽  
Integral Boundary ◽  
Order Difference ◽  
Initial Layer ◽  
Parameterized Problem

scholarly journals Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Qing-Qing Hu ◽  
Baoqiang Yan
Keyword(s):  
Boundary Condition ◽  
Variational Method ◽  
Multiple Solutions ◽  
Order Equation ◽  
Second Order ◽  
Integral Boundary Condition ◽  
Stieltjes Integral ◽  
Order Problem ◽  
Integral Boundary ◽  
Critical Point Theorem

In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we obtain the existence of multiple solutions for our problem. Finally, in order to illustrate the effectiveness of our problem better, the example is listed.

scholarly journals On Periodic Fractional (p, q)-Integral Boundary Value Problems for Sequential Fractional (p, q)-Integrodifference Equations

Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 264
Author(s):  
Jarunee Soontharanon ◽  
Thanin Sitthiwirattham
Keyword(s):  
Boundary Condition ◽  
Fixed Point ◽  
Boundary Value Problems ◽  
Fixed Point Theorems ◽  
Existence Results ◽  
Integral Boundary Condition ◽  
Integrodifference Equations ◽  
Integrodifference Equation ◽  
Integral Boundary ◽  
Integral Boundary Value Problems

We study the existence results of a fractional (p, q)-integrodifference equation with periodic fractional (p, q)-integral boundary condition by using Banach and Schauder’s fixed point theorems. Some properties of (p, q)-integral are also presented in this paper as a tool for our calculations.

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