We establish several new sufficient conditions for the oscillation of all solutions Ε½ . and the existence of a positive solution when P t y 1 is allowed to oscillate and Ο± Ε½ . the usual divergent condition H Q s ds s Ο± is not satisfied. These conditions are almost sharp and improve some known result
β¦ LIBER β¦
Spectrum for quantum duffing oscillator and small-divisor equation with large-variable coefficient
β Scribed by Jianjun Liu; Xiaoping Yuan
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 241 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
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## Abstract We consider the equation (β1)^__m__^β^__m__^ (__p__β^__m__^__u__) + β__u__ = Ζ in β^__n__^ Γ [0, β] for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ β1, Ζ Ο΅ __C__ and __p__ > 0. Under the additional assumption that the differential operator (β1)^__m__^β^__