| Existence of Solutions to a Singular Initial Value Problem |
| |
| 作者姓名： | R.P. AGARWAL P. S. KELEVEDJIEV |
| |
| 作者单位： | [1]Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901, USA [2]Department of Mathematics, Technical University of Sliven, Sliven, Bulgaria |
| |
| 摘 要： | Under the sign assumptions we investigate the global existence of solutions of the initial value problem x＇ =f（t, x, x＇）, x（0） = A, where the scalar function f（t, x,p） may be singular at x = A.
|
| 关 键 词： | 初值问题 一阶微分方程 奇异性 存在性 |
| 收稿时间： | 16 January 2006 |
| 修稿时间： | 2006-01-16 |
Existence of Solutions to a Singular Initial Value Problem |
| |
| R.P. AGARWAL P. S. KELEVEDJIEV.Existence of Solutions to a Singular Initial Value Problem[J].Acta Mathematica Sinica,2007,23(10):1797-1806. |
| |
| Authors: | R P Agarwal P S Kelevedjiev |
| |
| Institution: | (1) Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901, USA;(2) Department of Mathematics, Technical University of Sliven, Sliven, Bulgaria |
| |
| Abstract: | Under the sign assumptions we investigate the global existence of solutions of the initial value problem x' = f(t, x, x'), x(0) = A, where the scalar function f(t, x, p) may be singular at x = A. |
| |
| Keywords: | initial value problems first order differential equations singularity existence global solutions |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
|
