Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation

Joint Authors

Rachůnek, Lukáš
Rachůnková, Irena

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-06-23

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

Singular differential equation (p(t)u′)′=p(t)f(u) is investigated.

Here f is Lipschitz continuous on ℝ and has at least two zeros 0 and L>0 .

The function p is continuous on [0,∞) and has a positive continuous derivative on (0,∞) and p(0)=0.

An asymptotic formula for oscillatory solutions is derived.

American Psychological Association (APA)

Rachůnková, Irena& Rachůnek, Lukáš. 2011. Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-513294

Modern Language Association (MLA)

Rachůnková, Irena& Rachůnek, Lukáš. Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-513294

American Medical Association (AMA)

Rachůnková, Irena& Rachůnek, Lukáš. Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-513294

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-513294