Positive solutions of an m-point boundary value problem with sign changing nonlinearities
نویسندگان
چکیده
منابع مشابه
Twin positive solutions of second-order m-point boundary value problem with sign changing nonlinearities
In this paper, we study second-order m-point boundary value problem { u′′(t) + a(t)u′(t) + f(t, u) = 0, 0 ≤ t ≤ 1, u′(0) = 0, u(1) = ∑k i=1 aiu(ξi)− ∑m−2 i=k+1 aiu(ξi), where ai > 0(i = 1, 2, · · ·m − 2), 0 < ∑k i=1 ai − ∑m−2 i=k+1 ai < 1, 0 < ξ1 < ξ2 < · · · < ξm−2 < 1, a ∈ C([0, 1], (−∞, 0)) and f is allowed to change sign. We show that there exist two positive solutions by using Leggett-Will...
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 کاملMultiple Positive Solutions for Nonlinear Second-order M-point Boundary-value Problems with Sign Changing Nonlinearities
In this paper, we study the nonlinear second-order m-point boundary value problem u′′(t) + f(t, u) = 0, 0 ≤ t ≤ 1, βu(0)− γu′(0) = 0, u(1) = m−2 X i=1 αiu(ξi), where the nonlinear term f is allowed to change sign. We impose growth conditions on f which yield the existence of at least two positive solutions by using a fixed-point theorem in double cones. Moreover, the associated Green’s function...
متن کاملTriple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities
In this paper, we study the existence of triple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities. We first study the associated Green’s function and obtain some useful properties. Our main tool is the fixed point theorem due to Avery and Peterson. The results of this paper are new and extent previously known results. 2000 Mathematics Subjec...
متن کاملTriple positive solutions of $m$-point boundary value problem on time scales with $p$-Laplacian
In this paper, we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly. Our results ...
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: Computers & Mathematics with Applications
سال: 2005
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.07.018