Existence and uniqueness of solution of a certain boundary-value problem for a convolution integral equation with monotone non-linearity

2020 ◽  
Vol 84 (4) ◽  
pp. 807-815
Author(s):  
Kh. A. Khachatryan
Keyword(s):  
Integral Equation ◽  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Uniqueness Of Solution ◽  
Convolution Integral ◽  
Convolution Integral Equation

scholarly journals On the covergence of an iteration method for solving the boundary value problem in tile theory of elasto - platic deformation processes

1985 ◽  
Vol 7 (3) ◽  
pp. 6-12
Author(s):  
Dao Huy Bich ◽  
Nguyen Cong Hop
Keyword(s):  
Plastic Deformation ◽  
Boundary Value Problem ◽  
Iteration Method ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Uniqueness Of Solution ◽  
Deformation Processes ◽  
Tile Theory

In this paper is proposed an iteration method, as the Iliousin' s method for solving the boundary value problem in the theory of elasto - plastic deformation processes. The convergence of this method, i. e. the existence and uniqueness of  solution of the boundary value problem are also considered. 

A multipoint Birkhoff type boundary value problem

2015 ◽  
Vol 23 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Francesco A. Costabile ◽  
Anna Napoli
Keyword(s):  
Boundary Value Problem ◽  
Numerical Solution ◽  
Collocation Method ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Uniqueness Of Solution ◽  
Multipoint Boundary ◽  
Type Boundary ◽  
Theoretical Results ◽  
Multipoint Boundary Value Problem

AbstractA multipoint boundary value problem is considered. The existence and uniqueness of solution is proved. Then, for the numerical solution, a general collocation method is proposed.Numerical experiments confirm theoretical results.

scholarly journals On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
R. K. Pandey ◽  
Amit K. Verma
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Uniqueness Of Solution ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Singular Boundary Value Problems ◽  
Constructive Approach

We present a constructive approach to establish existence and uniqueness of solution of singular boundary value problem-(p(x)y′(x))′=q(x)f(x,y,py′)for0<x≤b,y(0)=a,α1y(b)+β1p(b)y′(b)=γ1.Herep(x)>0on(0,b)allowingp(0)=0. Furtherq(x)may be allowed to have integrable discontinuity atx=0, so the problem may be doubly singular.

scholarly journals To solving the fractionally loaded heat equation

2021 ◽  
Vol 101 (1) ◽  
pp. 65-77
Author(s):  
M.T. Kosmakova ◽  
◽  
S.A. Iskakov ◽  
L.Zh. Kasymova ◽  
◽  
...  
Keyword(s):  
Integral Equation ◽  
Boundary Value Problem ◽  
Heat Equation ◽  
Fractional Derivative ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Continuous Functions ◽  
Uniqueness Of Solutions ◽  
Loaded Term ◽  
Differential Part

In this paper we consider a boundary value problem for a fractionally loaded heat equation in the class of continuous functions. Research methods are based on an approach to the study of boundary value problems, based on their reduction to integral equations. The problem is reduced to a Volterra integral equation of the second kind by inverting the differential part. We also carried out a study the limit cases for the fractional derivative order of the term with a load in the heat equation of the boundary value problem. It is shown that the existence and uniqueness of solutions to the integral equation depends on the order of the fractional derivative in the loaded term.

Sign in / Sign up

Export Citation Format

Share Document