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

• Autorzy: Yongxiang Li , He Yang
• Języki publikacji: EN

Abstrakty

EN

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].

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 100
• Numer: 2
• Strony: 105-114

Daty

wydano

2011

Twórcy

autor

Yongxiang Li

• Department of Mathematics, Northwest Normal University, Lanzhou 730070, People's Republic of China

autor

He Yang

• Department of Mathematics, Northwest Normal University, Lanzhou 730070, People's Republic of China

Identyfikatory

DOI

10.4064/ap100-2-1