- 著者
- Anello Giovanni
- 出版者
- 日本数学会函数方程式論分科会
- 雑誌
- Funkcialaj Ekvacioj (ISSN:05328721)
- 巻号頁・発行日
- vol.59, no.1, pp.113-122, 2016
- 被引用文献数
- 3
Let Ω be a bounded domain in RN with smooth boundary. Let f: [0, + ∞[ → [0,+∞[, with f(0) = 0, be a continuous function such that, for some a > 0, the function ξ∈]0, +∞[ → ξ−2 · ∫0ξ f(t)dt is non increasing in ]0,a[. Finally, let α: <span style="text-decoration: overline">Ω</span> → [0,+∞[ be a continuous function with α(x) > 0, for all x ∈ Ω. We establish a necessary and sufficient condition for the existence of solutions to the following problem −Δu = λα(x)f(u) in Ω, u > 0 in Ω, u = 0 on ∂Ω, where λ is a positive parameter. Our result extends to higher dimension a similar characterization very recently established by Ricceri in the one dimensional case.
- 著者
- Hassane Bouzahir Honglian You Rong Yuan
- 出版者
- 日本数学会函数方程式論分科会
- 雑誌
- Funkcialaj Ekvacioj (ISSN:05328721)
- 巻号頁・発行日
- vol.54, no.1, pp.139-156, 2011 (Released:2011-04-21)
- 参考文献数
- 38
- 被引用文献数
- 6 8
This paper deals with a class of partial functional differential equations with infinite delay. Supposing that the linear part is a Hille-Yosida operator but not necessarily densely defined, and employing the integrated semigroups and dissipative dynamics theory, we present some appropriate conditions to guarantee existence of a global attractor.
- 著者
- Mikio Murata
- 出版者
- 日本数学会函数方程式論分科会
- 雑誌
- Funkcialaj Ekvacioj (ISSN:05328721)
- 巻号頁・発行日
- vol.47, no.2, pp.291-305, 2004 (Released:2004-09-15)
- 参考文献数
- 8
- 被引用文献数
- 5 13
We present a new expression for the elliptic-difference Painlevé equation. As in our construction all parameters in their equations appear in a symmetric way, the permutation symmetry of the equations is immediately apparent. We present expressions for other discrete Painlevé equations, obtained in a similar way.