Unbounded solutions of differential equations of second order期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Unbounded solutions of differential equations of second order

Authors:

Xiaojing Yang

Affiliation:

(1) Department of Mathematics, Tsinghua University, Beijing, 10084, China

Abstract:

In this paper, the existence of unbounded solutions for the following nonlinear asymmetric oscillator

${{x}ifmmode{'}else$'$fi}ifmmode{'}else$'$fi + f(x){x}ifmmode{'}else$'$fi + alpha x^{ + } - beta x^{ - } = h(t)$

is discussed, where α, β are positive constants satisfying

$frac{1}{{{sqrt alpha }}} + frac{1}{{{sqrt beta }}} = frac{2}{omega }$

for some ω ∈R⁺ /Q, h(t) ∈L^∞ [0, 2π ] is 2π-periodic, x^±=max {±x, 0 }. Received: 23 September 2004

Keywords:

Mathematics Subject Classification (2000). 34C11 34C25

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