On sign-changing solutions for a second-order integral boundary value problem
نویسندگان
چکیده
منابع مشابه
On multiple sign-changing solutions for some second-order integral boundary value problems
In this paper, by employing fixed point index theory and Leray-Schauder degree theory, we obtain the existence and multiplicity of sign-changing solutions for nonlinear second-order differential equations with integral boundary value conditions.
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 کاملTwin 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 کاملMultiple positive solutions for a second-order boundary value problem with integral boundary conditions
where α and β are nonnegative constants. Boundary value problems of ordinary differential equations arise in kinds of different areas of applied mathematics and physics. Many authors have studied two-point, threepoint, multi-point boundary value problems for second-order differential equations extensively, see [–] and the references therein. In recent years, boundary value problems with integ...
متن کاملExistence of positive solutions for a second-order p-Laplacian impulsive boundary value problem on time scales
In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.
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: 2011
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2011.05.046