A fractional eigenvalue problem in $\mathbb{R}^N$
نویسندگان
چکیده
منابع مشابه
Eigenvalue Problem for a Class of Nonlinear Fractional Differential Equations
In this paper, we study eigenvalue problem for a class of nonlinear fractional differential equations D 0+u(t) = λf(u(t)), 0 < t < 1, u(0) = u(1) = u′(0) = u′(1) = 0, where 3 < α ≤ 4 is a real number, D 0+ is the Riemann–Liouville fractional derivative, λ is a positive parameter and f : (0,+∞)→ (0,+∞) is continuous. By the properties of the Green function and Guo–Krasnosel’skii fixed point theo...
متن کاملEigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations
and Applied Analysis 3 Lemma 2.1 see 8, 9 . 1 If x ∈ L1 0, 1 , ρ > σ > 0, and n ∈ N, then IIx t I x t , DtIx t Iρ−σx t , 2.4 DtIx t x t , d dtn Dtx t Dt x t . 2.5 2 If ν > 0, σ > 0, then Dttσ−1 Γ σ Γ σ − ν t σ−ν−1. 2.6 Lemma 2.2 see 8 . Assume that x ∈ L1 0, 1 and μ > 0. Then IDtx t x t c1tμ−1 c2tμ−2 · · · cntμ−n, 2.7 where ci ∈ R i 1, 2, . . . , n , n is the smallest integer greater than or eq...
متن کاملA Nonlinear Eigenvalue Problem
My lectures at the Minicorsi di Analisi Matematica at Padova in June 2000 are written up in these notes1. They are an updated and extended version of my lectures [37] at Jyväskylä in October 1994. In particular, an account of the exciting recent development of the asymptotic case is included, which is called the ∞-eigenvalue problem. I wish to thank the University of Padova for financial suppor...
متن کاملA Quadratic Eigenvalue Problem
Let P, Q be compact selfadjoint operators in a Hilbert space. It is proven that the characteristic and associated vectors of the quadratic eigenvalue problem, x=\Px + (\¡X)Qx, form a Riesz basis for the cartesian product of the closure of the range of P and the closure of the range of Q. 1. Investigations in the theory of hydrodynamic stability (cf. [3, Chapter X] ; [8]) lead to the search for ...
متن کاملOn a Nonlocal Eigenvalue Problem
We consider a nonlocal eigenvalue problem which arises in the study of stability of point-condensation solutions in some reaction-diiusion systems. We give some suucient (and explicit) conditions for the stability in the general case.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S
سال: 2016
ISSN: 1937-1632
DOI: 10.3934/dcdss.2016016