Multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities for second order three-point differential equations
نویسندگان
چکیده
منابع مشابه
Positive Solutions for Second-Order Singular Semipositone Boundary Value Problems
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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In this paper we establish the existence of single and multiple solutions to the semiposi-tone discrete Dirichlet boundary value problem ∆ 2 y(i − 1) + µf (i, y(i)) = 0, i ∈ {1, 2, ..., T } y(0) = y(T + 1) = 0, where µ > 0 is a constant and our nonlinear term f (i, u) may be singular at u = 0. .
متن کاملPositive solutions of second-order semipositone singular three-point boundary value problems
In this paper we prove the existence of positive solutions for a class of second order semipositone singular three-point boundary value problems. The results are obtained by the use of a GuoKrasnoselskii’s fixed point theorem in cones.
متن کاملMultiple Positive Solutions for Second-order Three-point Boundary-value Problems with Sign Changing Nonlinearities
In this article, we study the second-order three-point boundaryvalue problem u′′(t) + a(t)u′(t) + f(t, u) = 0, 0 ≤ t ≤ 1, u′(0) = 0, u(1) = αu(η), where 0 < α, η < 1, a ∈ C([0, 1], (−∞, 0)) and f is allowed to change sign. We show that there exist two positive solutions by using Leggett-Williams fixed-point theorem.
متن کاملMultiple positive solutions to third-order three-point singular semipositone boundary value problem
By using a specially constructed cone and the fixed point index theory, this paper investigates the existence of multiple positive solutions for the third-order three-point singular semipositone BVP: x ′′′ (t) − λ f (t, x) = 0, t ∈ (0, 1); x(0) = x ′ (η) = x ′′ (1) = 0, where 1 2 < η < 1, the non-linear term f (t, x): (0, 1) × (0, +∞) → (−∞, +∞) is continuous and may be singular at t = 0, t = 1...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.12.036