Positive solutions to singular initial value problems with sign changing nonlinearities
نویسندگان
چکیده
منابع مشابه
POSITIVE SOLUTIONS FOR SINGULAR THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES DEPENDING ON x′
Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x′′(t) + a(t)f(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < α < 1, 0 < η < 1, and f may change sign and may be singular at x = 0 and x′ = 0.
متن کاملPositive Solutions for Singular m-Point Boundary Value Problems with Sign Changing Nonlinearities
Using the theory of fixed point theorem in cone, this paper presents the existence of positive solutions for the singular m-point boundary value problem
متن کاملA Positive Solution for Singular Discrete Boundary Value Problems with Sign-changing Nonlinearities
Let a,b (b > a) be nonnegative integers. We define the discrete interval [a,b] = {a,a + 1, . . . ,b}. All other intervals will carry its standard meaning, for example, [0,∞) denotes the set of nonnegative real numbers. The symbol Δ denotes the forward difference operator with step size 1, that is, Δu(k) = u(k + 1)− u(k). Furthermore for a positive m, Δm is defined as Δmu(k)= Δm−1(Δu(k)). In thi...
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 کاملPositive solutions of discrete Neumann boundary value problems with sign-changing nonlinearities
R + →R is a sign-changing function. In recent years, positive solutions of boundary value problems for difference equations have been widely studied. See [–] and the references therein. However, little work has been done that has referred to the existence of positive solutions for discrete boundary value problems with sign-changing nonlinearities (see []). Usually, in order to obtain posit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1998
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(98)00096-x