ON BOUNDARY VALUE PROBLEMS WITH PRESCRIBED NUMBER OF ZEROES OF SOLUTIONS

被引：2

作者：

Ronto, A. ^{[1
]}

Ronto, M. ^{[2
]}

Shchobak, N. ^{[3
,4
]}

机构：

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

[2] Univ Miskolc, Inst Math, H-3515 Miskolc, Hungary

[3] Brno Univ Technol, Fac Business & Management, Kolejni 2906-4, Brno 61200, Czech Republic

[4] Uzhgorod Natl Univ, 14 Univ Ska St, UA-88000 Uzhgorod, Ukraine

来源：

MISKOLC MATHEMATICAL NOTES | 2017年 / 18卷 / 01期

关键词：

Emden-Fowler equation; model-type boundary conditions; successive approximations; prescribed number of zeroes;

D O I：

10.18514/MMN.2017.2329

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how appropriate parametrisation technique and successive approximations can help to investigate solutions of Emden-Fowler type equations with a given number of zeroes. The technique can be efficiently applied for more general equations with non-linearities involving absolute value signs and various types of boundary conditions.

引用

页码：431 / 452

页数：22

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