Existence of multiple solutions of a two-point boundary value problem at resonance
نویسندگان
چکیده
منابع مشابه
Existence of Multiple Solutions of a Two-point Boundary Value Problem at Resonance
(1.1) { − ·· u= nu+ g(t, u), t ∈ (0, π), u(0) = u(π) = 0, where n ∈ N and g : [0, π] × R → R is a continuously differentiable function satisfying the following assumptions: (g1) g(t, 0) ≡ 0. (g2) lim|s|→∞ g′ s(t, s) = 0 uniformly in t ∈ (0, π). (g3) There exists R0 > 0 such that g(t, s)s > 0 for any s ∈ R with |s| ≥ R0 and for a.e. t ∈ (0, π). (g4) There exist some positive numbers C1, C2, R1 a...
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Xiaoling Han and Ting Wang Department of Mathematics, Northwest Normal University, Lanzhou 730070, China Correspondence should be addressed to Xiaoling Han, [email protected] Received 16 May 2011; Accepted 16 June 2011 Academic Editor: Nikolai Leonenko Copyright q 2011 X. Han and T. Wang. This is an open access article distributed under the Creative Commons Attribution License, which perm...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 1997
ISSN: 1230-3429
DOI: 10.12775/tmna.1997.025