Affiliation:
1. Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, 616 00 Brno, Czech Republic
2. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 602 00 Brno, Czech Republic
Abstract
The paper investigates an equation with single delayẋ(t)=-c(t)x(t-τ(t)), whereτ:[t0-r,∞)→(0,r],r>0,t0∈R, andc:[t0-r,∞)→(0,∞)are continuous functions, and the differencet-τ(t)is an increasing function. Its purpose is to derive a new explicit integral criterion for the existence of a positive solution in terms ofcandτ. An overview of known relevant criteria is provided, and relevant comparisons are also given.
Subject
Applied Mathematics,Analysis
Cited by
6 articles.
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