Green’s Functions for Reducible Functional Differential Equations

被引：0
作者：
Alberto Cabada
F. Adrián F. Tojo
机构：
[1] Universidade de Santiago de Compostela,Departamento de Análise Matemática, Facultade de Matemáticas
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2017年 / 40卷
关键词：
Equations with involutions; Equations with reflection ; Green’s functions; Hilbert transform; Reducible functional differential equations; Algebraic analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we study differential problems in which the reflection operator and the Hilbert transform are involved. We reduce these problems to ODEs in order to solve them. Also, we describe a general method for obtaining the Green’s function of reducible functional differential equations and illustrate it with the case of homogeneous boundary value problems with reflection and several specific examples.
引用
收藏
页码：1071 / 1092
页数：21
相关论文
共 35 条
[1]  
Bronstein M(1994)On ore rings On ore rings, linear operators and factorisation 1 27-44
[2]  
Petkovšek M(2013)Comparison results for first order linear operators with reflection and periodic boundary value conditions Nonlinear Analysis: Theory, Methods and Applications 78 32-46
[3]  
Cabada A(2013)Solutions of the first order linear equation with reflection and general linear conditions Glob. J. Math. Sci. 2 1-8
[4]  
Tojo FAF(2013)Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions J. Math. Anal. Appl. 412 529-546
[5]  
Cabada A(2014)Solutions and Greens function of the first order linear equation with reflection and initial conditions Bound. Value Probl. 2014 99-1936
[6]  
Tojo FAF(2012)Computation of Green’s functions for boundary value problems with Mathematica Appl. Math. Comput. 219 1919-381
[7]  
Cabada A(2013)Nontrivial solutions of perturbed Hammerstein integral equations with reflections Bound. Value Probl. 2013 86-465
[8]  
Tojo FAF(2008)Factoring and decomposing a class of linear functional systems Linear Algebr. Appl. 428 324-335
[9]  
Cabada A(1999)Three aspects of bosonized supersymmetry and linear differential field equation with reflection Nucl. Phys. B 543 447-544
[10]  
Tojo FAF(2009)Fundamental theorems of algebra for the perplexes Coll. Math. J. 40 322-151
1234