A Note on a Second Order Three-Point Boundary Value Problem
نویسندگان
چکیده
منابع مشابه
On a Third-Order Three-Point Boundary Value Problem
where η ∈ 0, 1 , α, β ∈ R, f ∈ C 0, 1 × R,R . The parameters α and β are arbitrary in R such that 1 2α 2βη − 2β / 0. Our aim is to give new conditions on the nonlinearity of f , then using Leray-Schauder nonlinear alternative, we establish the existence of nontrivial solution. We only assume that f t, 0 / 0 and a generalized polynomial growth condition, that is, there exist two nonnegative func...
متن کاملGeneralized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions
The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order differential equations with nonlinear boundary conditions. Also, we improve the convergence of the sequence of iterates by establishing a convergence of order k.
متن کاملA Note on a Fourth Order Discrete Boundary Value Problem
Using variational methods we investigate the existence of solutions and their dependence on parameters for certain fourth order difference equations.
متن کاملPositive Solutions for a Functional Delay Second-order Three-point Boundary-value Problem
We establish criteria for the existence of positive solutions to the three-point boundary-value problems expressed by second-order functional delay differential equations of the form −x′′(t) = f(t, x(t), x(t− τ), xt), 0 < t < 1, x0 = φ, x(1) = x(η), where φ ∈ C[−τ, 0], 0 < τ < 1/4, and τ < η < 1.
متن کاملPositive solutions to a generalized second order three-point boundary value problem
Let T be a time scale with 0, T ∈ T. We investigate the existence and multiplicity of positive solutions to the nonlinear second-order three-point boundary-value problem u∆∇(t) + a(t)f(u(t)) = 0, t ∈ [0, T ] ⊂ T, u(0) = βu(η), u(T ) = αu(η) on time scales T, where 0 < η < T , 0 < α < T η , 0 < β < T−αη T−η are given constants.
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: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1299