Positive Periodic Solutions of Impulsive Functional Differential Equations with a Parameter

نویسندگان

  • YANQIN WANG
  • QINGWEI TU
  • QIANG WANG
  • CHAO HU
چکیده

By using a fixed point theorem of strict-set-contraction, some criteria are established for the existence of positive periodic solutions of the following impulsive functional differential equations with a parameter <: ẋ(t) = −a(t)f(t, x(t))x(t) + λg(t, xt, x(t− τ(t, x(t))), t ∈ R, and t 6= tk, x(t+k )− x(t − k ) = Ik(tk, x(tk − τ(tk, x(tk)))), k ∈ Z.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Existence and n-multiplicity of positive periodic solutions for impulsive functional differential equations with two parameters

In this paper, we employ the well-known Krasnoselskii fixed point theorem to study the existence and n-multiplicity of positive periodic solutions for the periodic impulsive functional differential equations with two parameters. The form including an impulsive term of the equations in this paper is rather general and incorporates as special cases various problems which have been studied extensi...

متن کامل

Existence Results on Positive Periodic Solutions for Impulsive Functional Differential Equations

A class of first order nonlinear functional differential equations with impulses is studied. It is shown that there exist one or two positive T -periodic solutions under certain assumptions, and no positive T -periodic solution under some other assumptions. Applications to some impulsive biological models and an example, which can not be covered by known results, are given to illustrate the mai...

متن کامل

Periodic solutions of first order functional differential equations

The best ebooks about Periodic Solutions Of First Order Functional Differential Equations In Population Dynamics that you can get for free here by download this Periodic Solutions Of First Order Functional Differential Equations In Population Dynamics and save to your desktop. This ebooks is under topic such as communications in applied analysis 12 multiple periodic positive periodic solutions ...

متن کامل

Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales

This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set contractions, some sufficient conditions have been established to guarantee the existence of periodic solutions. As applications, the existence of positive periodic solutions is given for some co...

متن کامل

Existence solutions for new p-Laplacian fractional boundary value problem with impulsive effects

Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011