Multiple positive solutions of Strum-Liouville equations with singularities
نویسندگان
چکیده
منابع مشابه
Multiple Positive Solutions of Strum-liouville Equations with Singularities
We always assume that the following hypotheses hold: (A1) p ∈ C([0,1], [0,+∞]), and ∫ 1 0 dt/p(t) < +∞; (A2) g∈ L(0,1), and g(s)≥ 0, a.e. and there exists [a,b]⊂ (0,1), such that 0< ∫ b a g(s)ds; (A3) F(t,u)∈ C([0,1]× [0,+∞],[0,+∞]). The BVP(1.1) arises in many different areas of applied mathematics and physics, and only its positive solution is significant in some practice. For the special cas...
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Let A = (aij)n×n be a nonnegative, symmetric, irreducible and invertible matrix. We prove the existence and uniqueness of radial solutions to the following Liouville system with singularity: ∆ui + ∑n j=1 aij |x| βj ej = 0, R2, i = 1, ..., n ∫ R2 |x| βieui(x)dx <∞, i = 1, ..., n where β1, ..., βn are constants greater than −2. If all βis are negative we prove that all solutions are radial and...
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where a, c : Z ® R+ are T-periodic functions, f Î C(Z × (0, ∞), R) is T-periodic with respect to t and singular at u = 0. Positive periodic solutions of second-order difference equations have been studied by many authors, see [1-6]. However, in these therein, the nonlinearities are nonsingular, what would happen if the nonlinearity term is singular? It is of interest to note here that singular ...
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1 College of International Economics and Trade, Jilin University of Finance and Economics, Jilin, Changchun 130117, China 2 School of Mathematical and Informational Sciences, Yantai University, Shandong, Yantai 264005, China 3 School of Mathematical Sciences, Qufu Normal University, Shandong, Qufu 273165, China 4 Department of Mathematics and Statistics, Curtin University of Technology, Perth, ...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2006
ISSN: 1026-0226,1607-887X
DOI: 10.1155/ddns/2006/32018