On the existence and uniqueness of solution of boundary-value problem for differential equations with parameter

1976 ◽  
Vol 71 (1) ◽  
pp. 237-247 ◽  
Author(s):  
Tadeusz Jankowski ◽  
Marian Kwapisz
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Uniqueness Of Solution

scholarly journals RETRACTED ARTICLE: Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Jianjie Wang ◽  
Ali Mai ◽  
Hong Wang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Uniqueness Of Solutions ◽  
Linear Maps ◽  
Retracted Article

Abstract This paper is mainly devoted to the study of one kind of nonlinear Schrödinger differential equations. Under the integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed point theorem.

scholarly journals On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1899
Author(s):  
Ahmed Alsaedi ◽  
Amjad F. Albideewi ◽  
Sotiris K. Ntouyas ◽  
Bashir Ahmad
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Liouville Type ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results

In this paper, we derive existence and uniqueness results for a nonlinear Caputo–Riemann–Liouville type fractional integro-differential boundary value problem with multi-point sub-strip boundary conditions, via Banach and Krasnosel’skii⏝’s fixed point theorems. Examples are included for the illustration of the obtained results.

A boundary value problem on the half-line for higher-order nonlinear differential equations

2009 ◽  
Vol 139 (5) ◽  
pp. 1017-1035 ◽  
Author(s):  
Ch. G. Philos
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Existence And Uniqueness ◽  
Nonlinear Differential Equations ◽  
Boundary Value ◽  
Higher Order ◽  
Half Line ◽  
Nonlinear Ordinary Differential Equations ◽  
Specific Class

This article is devoted to the study of the existence of solutions as well as the existence and uniqueness of solutions to a boundary-value problem on the half-line for higher-order nonlinear ordinary differential equations. An existence result is obtained by the use of the Schauder–Tikhonov theorem. Furthermore, an existence and uniqueness criterion is established using the Banach contraction principle. These two results are applied, in particular, to the specific class of higher-order nonlinear ordinary differential equations of Emden–Fowler type and to the special case of higher-order linear ordinary differential equations, respectively. Moreover, some (general or specific) examples demonstrating the applicability of our results are given.

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.

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