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

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Li Y., Li C., Zhang J.

Annales Polonici Mathematici

2010

tom 97

nr 2

169-183

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Li C.

1 Li Y.

1 Zhang J.

1 2010

Wyniki wyszukiwania

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