A remark on a third-order three-point boundary value problem

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Solvability of a Third-order Three-point Boundary Value Problem on a Half-line*

In this paper, we consider the solvability of a third-order three-point boundary value problem on a half-line of the form: { x′′′(t) = f(t, x(t), x′(t), x′′(t)), 0 < t < +∞, x(0) = αx(η), lim t→+∞ x(t) = 0, i = 1, 2, where α 6= 1 and η ∈ (0,+∞), while f : [0,+∞)× R → R is S − Carathéodory function. The existence and uniqueness of solutions for the boundary value problems are obtained by the Ler...

متن کامل

A Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs

In this article we have developed third order exact finite difference method for the numerical solution of third order boundary value problems. We constructed our numerical technique without change in structure of the coefficient matrix of the second-order method in cite{Pand}. We have discussed convergence of the proposed method. Numerical experiments on model test problems approves the simply...

متن کامل

Solvability 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 کامل

Existence and Uniqueness of a Positive Solution for a Third-order Three-point Boundary-value Problem

In this work we study a third-order three-point boundary-value problem (BVP). We derive sufficient conditions that guarantee the positivity of the solution of the corresponding linear BVP Then, based on the classical Guo-Krasnosel’skii’s fixed point theorem, we obtain positive solutions to the nonlinear BVP. Additional hypotheses guarantee the uniqueness of the solution.

متن کامل

ذخیره 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: Bulletin of the Australian Mathematical Society

سال: 1994

ISSN: 0004-9727,1755-1633

DOI: 10.1017/s0004972700016014