Existence of periodic solutions of a scalar functional differential equation via a fixed point theorem
نویسندگان
چکیده
This paper is devoted to studying some new existence theorems for single and multiple positive periodic solutions to a scalar functional differential equation by combining some properties of Green’s function together with a well-known nonzero fixed point theorem in cones. It improves and generalizes some related results in the literature. Finally, several examples and numerical simulations are given to dwell on the effectiveness of our results. c © 2007 Elsevier Ltd. All rights reserved.
منابع مشابه
Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
...
متن کاملExistence 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 کاملVibration of Road Vehicles with Non linear Suspensions
In order to investigate the effects of non-linear springs in vibrating behavior of vehicles, the independent suspension of conventional vehicles could be modeled as a non-linear single degree of freedom system. The equation of motion for the system would be a non-linear third order ordinary differential equation, when considering the elasticity of rubber bushings in joints of shock absorber. It...
متن کاملExistence and continuous dependence for fractional neutral functional differential equations
In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.
متن کاملExistence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Mathematical and Computer Modelling
دوره 46 شماره
صفحات -
تاریخ انتشار 2007