Monotone solutions of a higher-order neutral differential equation

• Autorzy: Zhang G. , Migda M.
• Języki publikacji: EN

Abstrakty

EN

A continuous function x(t) is said to be (*)-monotone with a positive number τ if x(t) > 0 and (-1)ⁿ(x(t) - x(t - τ))⁽ⁿ⁾ ≥ 0 for n ≥ 0. This paper is concerned with various classifications of (*)-monotone solutions of a neutral differential eąuation. Necessary and/or sufficient conditions are then derived for the existence of these solutions.

Słowa kluczowe

EN

neutral differential equation; existence criteria; (*)-monotone solution; asymptotic behavior

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 1
• Strony: 147--162
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Zhang G.

• Department of Mathematics, Qingdao Institute of Architecture and Engineering, Qingdao, Shandong 266033, P.R.China

autor

Migda M.

• Department of Mathematics, Poznań University of Technology, Piotrowo 3a, 60-965 Poznań, Poland

Bibliografia

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