Publication detail

Existence of strictly decreasing positive solutions of linear differential equations of neutral type

DIBLÍK, J. SVOBODA, Z.

Original Title

Existence of strictly decreasing positive solutions of linear differential equations of neutral type

Type

conference paper

Language

English

Original Abstract

The paper is concerned with a system of linear neutral differential equations y'(t) = −C(t)y(t − τ (t)) + D(t)y'(t − δ (t)) where C and D are 2 × 2 matrices with positive entries and τ, δ are continuous delays. A criterion is derived for the existence of positive strictly decreasing components of solutions for t → ∞. The proof applies a variant of the topological Wazewski principle, as developed by Rybakowski, suitable for differential equations of the delayed type. The criterion derived generalizes a similar criterion for scalar linear neutral differential equations. Solutions of the problem are taken to be continuously differentiable defined by initial functions satisfying the sewing condition.

Keywords

Neutral equation; delay; positive components; topological principle.

Authors

DIBLÍK, J.; SVOBODA, Z.

Released

24. 7. 2019

Publisher

AIP

ISBN

9780735418547

Book

AIP Conference Proceedings 2116

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

2116

Number

1

State

United States of America

Pages from

310005-1

Pages to

310005-4

Pages count

4

URL