EXISTENCE AND UNIFORMLY VALID ESTIMATE OF SOLUTIONS OF VOLTERRA TYPE INTEGRODIFFERENTIAL EQUATION FOR NONLINEAR BOUNDARY VALUE PROBLEMS
Singular perturbation of Volterra type integrodifferential equation for nonlinear boundary value problems by means of differential inequality theories is studied.Based on the results of second order nonlianear boundary value problems, the upper and lower solutions method of Voiterra type integrodifferential equation for nonlinear boundary value problems was established. Specific upper and lower solutions were constructed, and existence and tmiformly valid estimate of solutions for nonlinear boundary value problems of a Volterra type integrodifferentiai equation under suitable condition were obtained. The results showed that is seems new to apply these kinds of Volterra type iategrodifferential equation for nonlinear boundary value problems.
Singular perturbation Volterra type integrodifferentinl equation Upper and lower solutions
GUOCAN WANG
Dalian Jiaotong University, Dalia, Liaoning, 116011, P.R.China
国际会议
The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)
大连
英文
155-161
2008-12-18（万方平台首次上网日期，不代表论文的发表时间）