Investigation of solutions of state-dependent multi-impulsive boundary value problems

被引：6

作者：

Ronto, Andras ^{[1
]}

Rachunkova, Irena ^{[2
]}

Ronto, Miklos ^{[3
]}

Rachunek, Lukas ^{[2
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, Zizkova 22, Brno 61662, Czech Republic

[2] Palacky Univ, Dept Math Anal, Fac Sci, 17,Listopadu 12, Olomouc 77146, Czech Republic

[3] Univ Miskolc, Inst Math, H-3510 Miskolc, Hungary

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2017年 / 24卷 / 02期

关键词：

State-dependent multi-impulsive systems; non-linear boundary value problem; parametrization technique; successive approximations; DIFFERENTIAL-EQUATIONS; QUALITATIVE-ANALYSIS; MODEL;

D O I：

10.1515/gmj-2016-0084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a reduction technique allowing one to combine an analysis of the existence of solutions with an efficient construction of approximate solutions for a state-dependent multi-impulsive boundary value problem which consists of non-linear system of differential equations u'(t) = f(t, u(t)) for a.e. t epsilon [a, b], subject to the state-dependent impulse condition u(t+) - u(t-)= gamma t(u(t-)) for t epsilon (a, b) such that g(t, u(t-)) = 0, and the non-linear two-point boundary condition V(u(a), u(b)) = 0.

引用

页码：287 / 312

页数：26

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