Oscillation of solutions of certain ordinary differential equations of $n{\rm th}$ order
نویسندگان
چکیده
منابع مشابه
Existence of periodic solutions of (2n + 1)th-order ordinary differential equations
The goal of this paper is to prove the existence and uniqueness of periodic solutions for a class of the odd order differential equations. Here the Leray–Schauder degree theory and the Schwarz inequality are used. 2002 Elsevier Science (USA). All rights reserved.
متن کاملA Semi-Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations
This paper presents the theory and applications of a new computational technique referred to as Differential Transform Method (DTM) for solving second order linear ordinary differential equations, for both homogeneous and nonhomogeneous cases. For the robustness and efficiency of the method, four examples are considered. The results indicate that the DTM is reliable and accurate when compared t...
متن کاملOscillation of certain higher-order neutral partial functional differential equations.
In this paper, we study the oscillation of certain higher-order neutral partial functional differential equations with the Robin boundary conditions. Some oscillation criteria are established. Two examples are given to illustrate the main results in the end of this paper.
متن کاملPositive solutions of boundary value problems for n th order ordinary differential equations 1 Moustafa
In this paper, we investigate the problem of existence and nonexistence of positive solutions for the nonlinear boundary value problem: u(t) + λa(t)f(u(t)) = 0, 0 < t < 1, satisfying three kinds of different boundary value conditions. Our analysis relies on Krasnoselskii’s fixed point theorem of cone. An example is also given to illustrate the main results.
متن کاملC-approximate Solutions of Second-order Singular Ordinary Differential Equations
In this work a new method is developed to obtain C1-approximate solutions of initial and boundary-value problems generated from a one parameter second order singular ordinary differential equation. Information about the order of approximation is also given by introducing the so called growth index of a function. Conditions are given for the existence of such approximations for initial and bound...
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: Proceedings of the American Mathematical Society
سال: 1970
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1970-0261091-5