Positive solutions for singular discrete boundary value problems
نویسندگان
چکیده
منابع مشابه
Positive Solutions for Singular Discrete Boundary Value Problems
where ∆ is the forward difference operator ∆xn = xn+1 − xn, {an} is a positive real sequence for n ≥ 1, g is a positive continuous function on N × (0,u0), 0 < u0 ≤ ∞, and Φp(u) = |u|p−2u with p > 1. The left-hand side in (1.1) is the one-dimensional discrete analogue of the p-Laplacian u→ div |∇u|p−2∇u that appears in searching for radial solutions of nonlinear partial equations modelling vario...
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which arises in many different areas of applied mathematics and physics. Singular problems of this type that the nonlinearity g may change sign are referred to as singular semipositone problems in the literature. Motivated by BVP (1.1), this paper presents the existence results of the following second-order singular semipositone boundary value problem: { u ′′ + f(t, u) + g(t, u) = 0, 0 < t < 1,...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2004
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337504306068