Impulsive Boundary Value Problems for Planar Hamiltonian Systems

被引：2

作者：

Kayar, Zeynep ^{[1
]}

Zafer, Agacik ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

ORDINARY DIFFERENTIAL-EQUATIONS; LYAPUNOV INEQUALITIES; STABILITY-CRITERIA; PERIODIC PROBLEMS; 1ST-ORDER;

D O I：

10.1155/2013/892475

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an existence and uniqueness theorem for solutions of inhomogeneous impulsive boundary value problem (BVP) for planar Hamiltonian systems. Green's function that is needed for representing the solutions is obtained and its properties are listed. The uniqueness of solutions is connected to a Lyapunov type inequality for the corresponding homogeneous BVP.

引用

页数：6

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