# Stabilization of solutions to a differential-delay equation in a Banach space

Annales Polonici Mathematici (1997)

- Volume: 65, Issue: 3, page 271-281
- ISSN: 0066-2216

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topJ. J. Koliha, and Ivan Straškraba. "Stabilization of solutions to a differential-delay equation in a Banach space." Annales Polonici Mathematici 65.3 (1997): 271-281. <http://eudml.org/doc/269978>.

@article{J1997,

abstract = {A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.},

author = {J. J. Koliha, Ivan Straškraba},

journal = {Annales Polonici Mathematici},

keywords = {abstract differential-delay equation; dependence on parameter; uniform stability; differential delay equations; linearized stability},

language = {eng},

number = {3},

pages = {271-281},

title = {Stabilization of solutions to a differential-delay equation in a Banach space},

url = {http://eudml.org/doc/269978},

volume = {65},

year = {1997},

}

TY - JOUR

AU - J. J. Koliha

AU - Ivan Straškraba

TI - Stabilization of solutions to a differential-delay equation in a Banach space

JO - Annales Polonici Mathematici

PY - 1997

VL - 65

IS - 3

SP - 271

EP - 281

AB - A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.

LA - eng

KW - abstract differential-delay equation; dependence on parameter; uniform stability; differential delay equations; linearized stability

UR - http://eudml.org/doc/269978

ER -

## References

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