An asymptotic result for second order linear nonautonomous neutral delay differential equations

Philos, Ch. G.; Purnaras, I. K.

Hiroshima Math. J., Tome 40 (2010) no. 1, p. 47-63 / Harvested from Project Euclid

Résumé

In this paper, we establish a fundamental asymptotic result for the solutions to second order linear nonautonomous neutral delay differential equations. By the use of a solution of the corresponding generalized characteristic equation, we transform the second order neutral delay differential equation into a first order neutral delay differential equation and then we utilize its generalized characteristic equation.

Publié le : 2010-03-15
Classification: Neutral delay differential equation, asymptotic behavior, generalized characteristic equation, 34K25, 34K40

@article{1270645082,
     author = {Philos, Ch. G. and Purnaras, I. K.},
     title = {An asymptotic result for second order linear nonautonomous neutral delay differential equations},
     journal = {Hiroshima Math. J.},
     volume = {40},
     number = {1},
     year = {2010},
     pages = { 47-63},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270645082}
}

Philos, Ch. G.; Purnaras, I. K. An asymptotic result for second order linear nonautonomous neutral delay differential equations. Hiroshima Math. J., Tome 40 (2010) no. 1, pp.  47-63. http://gdmltest.u-ga.fr/item/1270645082/