Nonresonance conditions and extremal solutions for first-order impulsive problems under weak assumptions

被引：11
|
作者：
Franco, D
Pouso, RL
机构：
[1] Univ Nacl Educ Distancia, ETSI Ind, Dept Matemat Aplicada 1, Madrid 28080, Spain
[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
来源：
ANZIAM JOURNAL | 2003年 / 44卷
关键词：
D O I：
10.1017/S1446181100008105
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we shall study the existence of extremal solutions for an impulsive problem with functional-boundary conditions and weak regularity assumptions, not only on the right-hand side of the equation and on the functions that define the boundary conditions, but also on the impulse functions, which will be required to be nondecreasing, but not continuous as well, as is customary in the literature. Moreover, in order to prove one of our results we shall study a general impulsive linear problem, giving a complete characterisation of resonance for it.
引用
收藏
页码：393 / 407
页数：15
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