Green's functions for reducible functional differential equations

2014/11/20 by Alberto Cabada, Cabada, Alberto, F. Adrián F. Tojo +1
Mathematics · #34A25 #34B27 #34C20 #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1411.5507

openalex publication_date 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Computation of Green's functions through algebraic decomposition of operators
• On Linear Differential Equations and Systems with Reflection
• Green's Function of a generalized boundary value transmission problem
• Green's function for Sturm-Liouville problem
• Green's Function For Linear Differential Operators In One Variable