Some functional differential equations with both retarded and advanced arguments

In this paper we shall study a functional differential equation of mixed type. This equation is a generalization of some equations from medicine. Related to this equation we study the existence of the solution by contraction's principle and Schauder's fixed point theorem.

Bibliographic Details
Main Author: Veronica Ana Ilea
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2009-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/900
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author Veronica Ana Ilea
author_facet Veronica Ana Ilea
author_sort Veronica Ana Ilea
collection DOAJ
description In this paper we shall study a functional differential equation of mixed type. This equation is a generalization of some equations from medicine. Related to this equation we study the existence of the solution by contraction's principle and Schauder's fixed point theorem.
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spelling doaj.art-d3e86973e6004666b01b03223fbd7e3d2022-12-22T03:01:22ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2009-02-01381Some functional differential equations with both retarded and advanced argumentsVeronica Ana Ilea0Babeş-Bolyai University, Cluj-NapocaIn this paper we shall study a functional differential equation of mixed type. This equation is a generalization of some equations from medicine. Related to this equation we study the existence of the solution by contraction's principle and Schauder's fixed point theorem.https://ictp.acad.ro/jnaat/journal/article/view/900functional-differential equationsboundary value problemscontraction's principleSchauder's fixed point principle
spellingShingle Veronica Ana Ilea
Some functional differential equations with both retarded and advanced arguments
Journal of Numerical Analysis and Approximation Theory
functional-differential equations
boundary value problems
contraction's principle
Schauder's fixed point principle
title Some functional differential equations with both retarded and advanced arguments
title_full Some functional differential equations with both retarded and advanced arguments
title_fullStr Some functional differential equations with both retarded and advanced arguments
title_full_unstemmed Some functional differential equations with both retarded and advanced arguments
title_short Some functional differential equations with both retarded and advanced arguments
title_sort some functional differential equations with both retarded and advanced arguments
topic functional-differential equations
boundary value problems
contraction's principle
Schauder's fixed point principle
url https://ictp.acad.ro/jnaat/journal/article/view/900
work_keys_str_mv AT veronicaanailea somefunctionaldifferentialequationswithbothretardedandadvancedarguments