Existence of Positive Solutions for Nonlinear Systems of Second-order Differential Equations with Integral Boundary Conditions on an Infinite Interval in Banach Spaces

نویسندگان

  • XU CHEN
  • XINGQIU ZHANG
چکیده

The article shows the existence of positive solutions for systems of nonlinear singular differential equations with integral boundary conditions on an infinite interval in Banach spaces. Our main tool is the Mönch fixed point theorem combined with a monotone iterative technique. In addition, an explicit iterative approximation of the solution is provided.

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 of solutions of infinite systems of integral equations in the Frechet spaces

In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the Fr´echet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tych...

متن کامل

Existence of positive solutions for singular impulsive differential equations with integral boundary conditions on an infinite interval in Banach spaces∗

Existence of positive solutions for singular impulsive differential equations with integral boundary conditions on an infinite interval in Banach spaces∗ Xu Chen, Xingqiu Zhang1,2† 1 School of Mathematics, Liaocheng University, Liaocheng, 252059, Shandong, China 2 School of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China Email: [email protected], zhxq19750...

متن کامل

Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear Second-Order Differential Equations on Infinite Intervals in Banach Spaces

The cone theory together with Mönch fixed point theorem and a monotone iterative technique is used to investigate the positive solutions for some boundary problems for systems of nonlinear second-order differential equations with multipoint boundary value conditions on infinite intervals in Banach spaces. The conditions for the existence of positive solutions are established. In addition, an ex...

متن کامل

Existence of positive solution to a class of boundary value problems of fractional differential equations

This paper is devoted to the study of establishing sufficient conditions for existence and uniqueness of positive solution to a class of non-linear problems of fractional differential equations. The boundary conditions involved Riemann-Liouville fractional order derivative and integral. Further, the non-linear function $f$ contain fractional order derivative which produce extra complexity. Than...

متن کامل

Positive Solutions for Third-Order Boundary-Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives

Third-order boundary-value problems for differential equation play a very important role in a variety of different areas of applied mathematics and physics. Recently, third-order boundary-value problems have been many scholars’ research object. For example, heat conduction, chemical engineering, underground water flow, thermoelasticity, and plasma physics can produce boundary-value problems wit...

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