Multiple Positive Solutions of the Singular Boundary Value Problem for Second-Order Impulsive Differential Equations on the Half-Line
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چکیده
منابع مشابه
Multiple Positive Solutions of the Singular Boundary Value Problem for Second-Order Impulsive Differential Equations on the Half-Line
Copyright q 2010 Jing Xiao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper uses a fixed point theorem in cones to investigate the multiple positive solutions of a boundary value problem for second-order impulsive...
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(Φp(ρ(t)x (t))) + q(t)f(t, x(t), x(t)) = 0, t 6= ti, t ∈ J, ∆x(ti) = Ii(x(ti)), −∆Φp(ρ(ti)x (ti)) = Ji(x(ti)), i = 1, 2, . . . , m, x(0) = ax(ξ), lim t→+∞ ρ(t)x(t) = 0, here J = [0,+∞), Φpx := |x| x, p > 1, 0 = t0 < t1 < · · · < tm < ∞, a > 0, 0 ≤ ξ <∞, aξ < 1, ρ, Ii, Ji, q, f satisfy the following assumptions (H1) ρ ∈ C[0,+∞) ∩ C(0,+∞), ρ(t) > 0 is increasing on [0,+∞), ∫∞ 0 1 ρ(t) dt <∞; (H...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2010
ISSN: 1687-2770
DOI: 10.1155/2010/281908