A direct lyapunov method for delay differential equations

Standard

A direct lyapunov method for delay differential equations. / Prasolov, Alexander V.

In: International Journal of Pure and Applied Mathematics, Vol. 105, No. 4, 2015, p. 823-834.

Research output: Contribution to journal › Article

Author

Prasolov, Alexander V. / A direct lyapunov method for delay differential equations. In: International Journal of Pure and Applied Mathematics. 2015 ; Vol. 105, No. 4. pp. 823-834.

BibTeX

@article{06293b9fea0349a3aeaa246b9a5eb8a0,

title = "A direct lyapunov method for delay differential equations",

abstract = "This presentation is devoted to well-known tools of stability theory: Lyapunov functions and functionals. The development of delay equation theory through time based on some results of Russian mathematicians is discussed. In particular, there are two diﬀerent approaches: one could measure the distance between points in a ﬁnite dimension space or between short curve segments (points in a functional space). Some deﬁnitions, theorems and examples are presented",

author = "Prasolov, {Alexander V.}",

year = "2015",

doi = "10.12732/ijpam.v105i4.21",

language = "English",

volume = "105",

pages = "823--834",

journal = "International Journal of Pure and Applied Mathematics",

issn = "1311-8080",

publisher = "Academic Publications Ltd.",

number = "4",

}

RIS

TY - JOUR

T1 - A direct lyapunov method for delay differential equations

AU - Prasolov, Alexander V.

PY - 2015

Y1 - 2015

N2 - This presentation is devoted to well-known tools of stability theory: Lyapunov functions and functionals. The development of delay equation theory through time based on some results of Russian mathematicians is discussed. In particular, there are two diﬀerent approaches: one could measure the distance between points in a ﬁnite dimension space or between short curve segments (points in a functional space). Some deﬁnitions, theorems and examples are presented

AB - This presentation is devoted to well-known tools of stability theory: Lyapunov functions and functionals. The development of delay equation theory through time based on some results of Russian mathematicians is discussed. In particular, there are two diﬀerent approaches: one could measure the distance between points in a ﬁnite dimension space or between short curve segments (points in a functional space). Some deﬁnitions, theorems and examples are presented

U2 - 10.12732/ijpam.v105i4.21

DO - 10.12732/ijpam.v105i4.21

M3 - Article

VL - 105

SP - 823

EP - 834

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

SN - 1311-8080

IS - 4

ER -

ID: 4012728