On existence and global attractivity of periodic solutions of nonlinear delay differential equations

• Autorzy: Qian Chuanxi , Smith Justin

Identyfikatory

DOI

10.7494/OpMath.2019.39.6.839

• Języki publikacji: EN

Abstrakty

EN

onsider the delay differential equation with a forcing term [formula] (*) where ƒ (t, x) : [0,) x [0, ∞) —> R, g(t, x) : [0, ∞) x [0, ∞) —> [0, ∞) are continuous functions and w-periodic in t, r(t) : [0, ∞) —> R is a continuous function and r ∈ (0, ∞) is a positive constant. We first obtain a sufficient condition for the existence of a unique nonnegative periodic solution [formula] of the associated unforced differential equation of Eq. (*) [formula] (**) Then we obtain a sufficient condition so that every nonnegative solution of the forced equation (*) converges to this nonnegative periodic solution [formula] of the associated unforced equation (**). Applications from mathematical biology and numerical examples are also given.

Słowa kluczowe

EN

delay differential equation; periodic solution; global attractivity

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 6
• Strony: 839--862
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Qian Chuanxi

• Mississippi State University Department of Mathematics and Statistics Mississippi State, MS 39762, U.S.A.

autor

Smith Justin

• Mississippi State University Department of Mathematics and Statistics Mississippi State, MS 39762, U.S.A.

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