Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Existence and uniqueness of periodic solutions for odd-order ordinary differential equations

100%

Li Y., Yang H.

Annales Polonici Mathematici

2011

tom 100

nr 2

105-114

The paper deals with the existence and uniqueness of 2π-periodic solutions for the odd-order ordinary differential equation $u^{(2n+1)} = f(t,u,u',...,u^{(2n)})$, where $f: ℝ × ℝ^{2n+1} → ℝ$ is continuous and 2π-periodic with respect to t. Some new conditions on the nonlinearity $f(t,x₀,x₁,...,x_{2n})$ to guarantee the existence and uniqueness are presented. These conditions extend and improve the ones presented by Cong [Appl. Math. Lett. 17 (2004), 727-732].

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Li Y.

1 Yang H.

1 2011

Wyniki wyszukiwania

Existence and uniqueness of periodic solutions for odd-order ordinary differential equations