Singular boundary value problems for first and second order impulsive differential equations

被引：0
作者：
Agarwal R.P. [1 ]
Franco D. [2 ]
O'Regan D. [3 ]
机构：
[1] Department of Mathematical Science, Florida Institute of Technology, Melbourne
[2] Depto. De Matemática Aplicada, Univ. Nac. De Educacion A Distancia, Madrid 28080
[3] Department of Mathematics, National University of Ireland, Galway
来源：
aequationes mathematicae | 2005年 / 69卷 / 1-2期
关键词：
Existence; Impulsive; Positive solutions; Singular;
D O I：
10.1007/s00010-004-2735-9
中图分类号：
学科分类号：
摘要：
We establish the existence of at least one positive solution for first and second order singular boundary value problems with impulses where the singularity is integrable. We employ a new technique based on Schauder's fixed point theorem. Some of the results are new even in the nonimpulsive case. © Birkhäuser Verlag, Basel, 2005.
引用
收藏
页码：83 / 96
页数：13
相关论文
共 21 条
  • [1] Agarwal R.P., O'Regan D., Singular boundary value problems with integrate singularities, Miskolc Math. Notes
  • [2] Agarwal R.P., O'Regan D., Multiple nonnegative solutions for second order impulsive differential equations, Appl. Math. Comput., 114, pp. 51-59, (2000)
  • [3] Agarwal R.P., O'Regan D., Lakshmikantham V., Leela S., An upper and lower solution theory for singular Emden-Fowler equations, Nonlinear Anal. Real World Appl., 3, pp. 275-291, (2002)
  • [4] Agarwal R.P., O'Regan D., Wong P.J.Y., Positive Solutions of Differential, Difference and Integral Equations, (1999)
  • [5] Bobisud L.E., Calvert J.E., Royalty W.D., Some existence results for singular boundary value problems, Differential Integral Equations, 6, pp. 553-571, (1993)
  • [6] Bobisud L.E., O'Regan D., Existence of solutions to some singular initial value problems, J. Math. Anal. Appl., 133, pp. 214-230, (1988)
  • [7] Bonannao G., Positive solutions to nonlinear singular second order boundary value problems, Ann. Polon. Math., 64, pp. 237-251, (1996)
  • [8] Cherpion M., De Coster C., Existence of solutions to first order singular problems, Proc. Am. Math. Soc., 128, pp. 1779-1791, (2000)
  • [9] De Coster C., Lower and upper solutions for singular derivative dependent Dirichlet problem, Math. Inequal. Appl., 4, pp. 377-396, (2001)
  • [10] Erbe L.H., Mathsen R.M., Positive solutions for singular nonlinear boundary value problems, Nonlinear Anal., 46, pp. 979-986, (2001)
123