Second order BVPs with state dependent impulses via lower and upper functions

被引：13

作者：

Rachunkova, Irena ^{[1
]}

Tomecek, Jan ^{[1
]}

机构：

[1] Palacky Univ, Fac Sci, Dept Math Anal & Applicat Math, Olomouc 77146, Czech Republic

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2014年 / 12卷 / 01期

关键词：

Impulsive differential equation; State-dependent impulses; Upper and lower functions method; Upper and lower solutions method; Dirichlet problem; Second order ODE; DIFFERENTIAL-EQUATIONS; VARIABLE TIMES; DELAY EQUATIONS; MOMENTS; STABILITY; EXISTENCE;

D O I：

10.2478/s11533-013-0324-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the following second order Dirichlet boundary value problem with p a a"center dot state-dependent impulses: zaEuro(3)(t) = f (t,z(t)) for a.e. t a [0, T], z(0) = z(T) = 0, z'(tau (i) +) - z'(tau (i) -) = I (i) (tau (i) , z(tau (i) )), tau (i) = gamma (i) (z(tau (i) )), i = 1,..., p. Solvability of this problem is proved under the assumption that there exists a well-ordered couple of lower and upper functions to the corresponding Dirichlet problem without impulses.

引用

页码：128 / 140

页数：13

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