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