Multiple positive solutions to a three-point boundary value problem with p-Laplacian
نویسندگان
چکیده
منابع مشابه
Triple 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 کاملPositive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator
We investigate the existence ofmultiple positive solutions for three-point boundary value problemof fractional differential equation with p-Laplacian operator −Dt β (φp(Dt α x))(t) = h(t)f(t, x(t)), t ∈ (0, 1), x(0) = 0,Dt γ x(1) = aDt γ x(ξ),Dt α x(0) = 0, where Dt β ,Dt α ,Dt γ are the standard Riemann-Liouville derivatives with 1 < α ≤ 2, 0 < β ≤ 1, 0 < γ ≤ 1, 0 ≤ α − γ − 1, ξ ∈ (0, 1) and t...
متن کاملMULTIPLE POSITIVE SOLUTIONS FOR FOURTH-ORDER THREE-POINT p-LAPLACIAN BOUNDARY-VALUE PROBLEMS
In this paper, we study the three-point boundary-value problem for a fourth-order one-dimensional p-Laplacian differential equation ` φp(u ′′(t)) ́′′ + a(t)f ` u(t) ́ = 0, t ∈ (0, 1), subject to the nonlinear boundary conditions: u(0) = ξu(1), u′(1) = ηu′(0), (φp(u ′′(0))′ = α1(φp(u ′′(δ))′, u′′(1) = p−1 p β1u ′′(δ), where φp(s) = |s|p−2s, p > 1. Using the five functional fixed point theorem due...
متن کاملTwo positive solutions for a nonlinear four - point boundary value problem with a p - Laplacian operator ∗
In this paper, we study the existence of positive solutions for a nonlinear fourpoint boundary value problem with a p-Laplacian operator. By using a three functionals fixed point theorem in a cone, the existence of double positive solutions for the nonlinear four-point boundary value problem with a p-Laplacian operator is obtained. This is different than previous results.
متن کاملMultiple Symmetric Positive Solutions to Four-point Boundary-value Problems of Differential Systems with P-laplacian
In this article, we study the four-point boundary-value problem with the one-dimensional p-Laplacian (φpi (u ′ i)) ′ + qi(t)fi(t, u1, u2) = 0, t ∈ (0, 1), i = 1, 2; ui(0)− gi(ui(ξ)) = 0, ui(1) + gi(ui(η)) = 0, i = 1, 2. We obtain sufficient conditions such that by means of a fixed point theorem on a cone, there exist multiple symmetric positive solutions to the above boundary-value problem. As ...
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: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00557-7