Three periodic solutions for a class of higher-dimensional functional differential equations with impulses

• Autorzy: Yongkun Li , Changzhao Li , Juan Zhang
• Języki publikacji: EN

Abstrakty

EN

By using the well-known Leggett–Williams multiple fixed point theorem for cones, some new criteria are established for the existence of three positive periodic solutions for a class of n-dimensional functional differential equations with impulses of the form
⎧y'(t) = A(t)y(t) + g(t,yt), $t ≠ t_{j}$, j ∈ ℤ,
⎨
⎩$y(t⁺_{j}) = y(t¯_{j}) + I_{j}(y(t_{j}))$,
where $A(t) = (a_{ij}(t))_{n×n}$ is a nonsingular matrix with continuous real-valued entries.

Kategorie tematyczne

• 34K32: Implicit equations
• 34K13: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 97
• Numer: 2
• Strony: 169-183

Daty

wydano

2010

Twórcy

autor

Yongkun Li

• Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China

autor

Changzhao Li

• Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China

autor

Juan Zhang

• Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China

Identyfikatory

DOI

10.4064/ap97-2-6