On a third-order multi-point boundary value problem at resonance
نویسندگان
چکیده
منابع مشابه
A Third Order Nonlocal Boundary Value Problem at Resonance
We consider the third-order nonlocal boundary value problem u ′′′ (t) = f (t, u(t)), a.e. in (0, 1), u(0) = 0, u ′ (ρ) = 0, u ′′ (1) = λ[u ′′ ], where 0 < ρ < 1, the nonlinear term f satisfies Carathéodory conditions with respect to L 1 [0, T ], λ[v] = 1 0 v(t) dΛ(t), and the functional λ satisfies the resonance condition λ[1] = 1. The existence of a solution is established via Mawhin's coincid...
متن کاملOn 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 کاملSolvability of a third-order two-point boundary value problem
A new comparison theorem is proved and then used to investigate the solvability of a third-order two-point boundary value problem u′′′(t) + f(t, u(t), u′(t), u′′(t))) = 0, u(0) = u′(2π) = 0, u′′(0) = u′′(2π). Some existence results are established for this problem via upper and lower solutions method and fixed point theory. 2000MR Subject Classification: 34B15, 34C05
متن کاملSolution of a Linear Third order Multi-Point Boundary Value Problem using RKM
Aims: In this paper an approximate method for the solution of third-order differential equation with two and three point boundary condition is developed using iterative reproducing kernel method. Methods: The third order boundary value problem is converted into integro-differential equation of second order two point boundary value problem. The reproducing kernel method which takes the form of a...
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: 2005
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.08.012