Remarks on a three-point boundary value problem in a differential equation of the third order

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

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 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

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 of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

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: Annales Polonici Mathematici

سال: 1974

ISSN: 0066-2216,1730-6272

DOI: 10.4064/ap-29-3-229-232