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On Reducible Linear Functional Differential Equations of Mixed Type
Author(s) -
Hou Zhanyuan
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/(sici)1522-2616(200003)211:1<63::aid-mana63>3.0.co;2-8
Subject(s) - mathematics , bounded function , type (biology) , mathematical analysis , differential equation , class (philosophy) , set (abstract data type) , functional differential equation , plane (geometry) , partial differential equation , pure mathematics , geometry , ecology , artificial intelligence , computer science , biology , programming language
There are occasions when a linear autonomous functional differential equation of mixed type can be reduced to a neutral or retarded equation. A necessary condition for such reducibility is shown to be that the set of solutions of the characteristic equation is bounded on the right in the complex plane. This condition is also suffcient for the reducibility of a class of mixed‐type equations.