The Skyrme model for nucleons under spherical symmetry

1991 ◽  
Vol 118 (3-4) ◽  
pp. 271-288 ◽  
Author(s):  
J. B. McLeod ◽  
W. C. Troy
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Spherical Symmetry ◽  
Existence And Uniqueness ◽  
Skyrme Model ◽  
Symmetric Model ◽  
Spherically Symmetric ◽  
Uniqueness Of Solutions ◽  
Image Position ◽  
Spherically Symmetric Model

SynopsisThe paper discusses properties of solutions of the differential equationand in particular the existence and uniqueness of solutions to the boundary-value problem associated with the above equation and the boundary conditionsThis equation, first introduced by Skyrme, is a spherically symmetric model for a soliton description of nucleons.

scholarly journals Existence and uniqueness of solutions for a nonlinear second order differential equation in Hilbert space

1990 ◽  
Vol 33 (1) ◽  
pp. 89-95 ◽  
Author(s):  
Dang Dinh Hai
Keyword(s):  
Differential Equation ◽  
Hilbert Space ◽  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Order Differential Equation ◽  
Real Hilbert Space ◽  
Boundary Value ◽  
Uniqueness Of Solutions ◽  
Second Order Differential Equation ◽  
Image Position

This paper is concerned with the existence and uniqueness of solutions for the Picard boundary value problemin a real Hilbert space. Our theorems improve corresponding results of Mawhin for |k| large.

scholarly journals Existence and Uniqueness of Solutions for BVP of Nonlinear Fractional Differential Equation

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
Cheng-Min Su ◽  
Jian-Ping Sun ◽  
Ya-Hong Zhao
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equation ◽  
Existence And Uniqueness ◽  
Banach Contraction Principle ◽  
Uniqueness Of Solutions ◽  
Nonlinear Fractional Differential Equation ◽  
Nonlinear Alternative ◽  
Banach Contraction ◽  
Fractional Differential

In this paper, we study the existence and uniqueness of solutions for the following boundary value problem of nonlinear fractional differential equation: D0+qCut=ft,ut,  t∈0,1, u0=u′′0=0,  D0+σ1Cu1=λI0+σ2u1, where 2<q<3, 0<σ1≤1, σ2>0, and λ≠Γ2+σ2/Γ2-σ1. The main tools used are nonlinear alternative of Leray-Schauder type and Banach contraction principle.

scholarly journals On the existence and uniqueness of solutions of parabolic equations

1975 ◽  
Vol 13 (3) ◽  
pp. 451-456 ◽  
Author(s):  
K.L. Teo
Keyword(s):  
Continuous Function ◽  
Boundary Value Problem ◽  
Boundary Problem ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Divergence Form ◽  
Parabolic Operator ◽  
Uniqueness Of Solutions ◽  
Compact Closure ◽  
Image Position

Recently, Eklund (Proc. Amer. Math. Soc. 47 (1975), 137–142) has shown that to each continuous function F on ∂pQ −⊲ {∂Ω × [0, T]} ∪ {Ω × (0)} there is a unique solution to the boundary value problemwhere L is a linear second order parabolic operator in divergence form, Ω ⊂ Rn is a bounded domain with compact closure and ∂Ω denotes its boundary. In this note, it is shown that the existence theorem of Eklund remains valid for the following boundary problem

scholarly journals Positive Solutions to n-Order Fractional Differential Equation with Parameter

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Jing-jing Tan ◽  
Cong Tan ◽  
Xueling Zhou
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Iterative Scheme ◽  
Multiple Point ◽  
Point Boundary ◽  
Practical Application ◽  
Uniqueness Of Solutions ◽  
Fractional Differential

By employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. We not only obtain the existence and uniqueness of solutions about this BVP but also construct an iterative scheme to approximate the solution which is important for practical application. An example is given to demonstrate the validity of our main results.

scholarly journals Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Shuqi Wang ◽  
Zhanbing Bai
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Fractional Derivatives ◽  
Boundary Value ◽  
Contraction Mapping Principle ◽  
Uniqueness Of Solutions ◽  
Novel Approach ◽  
Banach Contraction ◽  
Left And Right ◽  
Banach Contraction Mapping Principle

AbstractIn this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A novel approach is used to acquire the desired results, and the core of the method is Banach contraction mapping principle. Finally, an example is given to verify the results.

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