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

• Autorzy: J. J. Koliha , Ivan Straškraba
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

abstract differential-delay equation; dependence on parameter; uniform stability

Kategorie tematyczne

• 34D15: Singular perturbations
• 34G20: Nonlinear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 3
• Strony: 271-281

Daty

wydano

1997

otrzymano

1996-06-19

poprawiono

1996-10-17

Twórcy

autor

J. J. Koliha

• Department of Mathematics, University of Melbourne, Parkville, Victoria 3052, Australia

autor

Ivan Straškraba

• Mathematical Institute, Academy of Sciences of The Czech Republic, 11567 Praha 1, Czech Republic

Bibliografia

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