Geodesic
Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory
Applications of Mathematics, Tome 49 (2004) no. 4, pp. 373-386 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In economic systems, reactions to external shocks often come with a delay. On the other hand, agents try to anticipate future developments. Both can lead to difference-differential equations with an advancing argument. These are more difficult to handle than either difference or differential equations, but they have the merit of added realism and increased credibility. This paper generalizes a model from monetary economics by von Kalckreuth and Schröder. Working out its stability properties, we present a general method for determining the stability of any solution to a homogeneous linear difference-differential equation with constant coefficients and advancing arguments.
In economic systems, reactions to external shocks often come with a delay. On the other hand, agents try to anticipate future developments. Both can lead to difference-differential equations with an advancing argument. These are more difficult to handle than either difference or differential equations, but they have the merit of added realism and increased credibility. This paper generalizes a model from monetary economics by von Kalckreuth and Schröder. Working out its stability properties, we present a general method for determining the stability of any solution to a homogeneous linear difference-differential equation with constant coefficients and advancing arguments.
DOI : 10.1007/s10492-004-6405-y
Classification : 34K06, 39A11, 39B99, 91B02, 91B62, 91B64
Keywords: linear difference-differential equations; stability; monetary transmission 
@article{10_1007_s10492_004_6405_y,
     author = {von Kalckreuth, Ulf and Krtscha, Manfred},
     title = {Stable solutions to homogeneous difference-differential equations with constant coefficients: {Analytical} instruments and an application to monetary theory},
     journal = {Applications of Mathematics},
     pages = {373--386},
     year = {2004},
     volume = {49},
     number = {4},
     doi = {10.1007/s10492-004-6405-y},
     mrnumber = {2076491},
     zbl = {1099.39009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6405-y/}
}
TY  - JOUR
AU  - von Kalckreuth, Ulf
AU  - Krtscha, Manfred
TI  - Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory
JO  - Applications of Mathematics
PY  - 2004
SP  - 373
EP  - 386
VL  - 49
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6405-y/
DO  - 10.1007/s10492-004-6405-y
LA  - en
ID  - 10_1007_s10492_004_6405_y
ER  - 
%0 Journal Article
%A von Kalckreuth, Ulf
%A Krtscha, Manfred
%T Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory
%J Applications of Mathematics
%D 2004
%P 373-386
%V 49
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6405-y/
%R 10.1007/s10492-004-6405-y
%G en
%F 10_1007_s10492_004_6405_y
von Kalckreuth, Ulf; Krtscha, Manfred. Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory. Applications of Mathematics, Tome 49 (2004) no. 4, pp. 373-386. doi: 10.1007/s10492-004-6405-y

Cité par Sources :