The global existence of solutions of delay differential equations
TLDR
In this article, the existence of solutions defined for all time is investigated for scalar delay differential equations with delayed arguments, and the authors apply the following result of Winston [5] to demonstrate some simple delay equations which admit only the zero solution.About:
This article is published in Journal of Differential Equations.The article was published on 1971-11-01 and is currently open access. It has received 5 citations till now. The article focuses on the topics: Delay differential equation & Examples of differential equations.read more
Citations
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Equations with unbounded delay: a survey
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On certain problems in the theory of differential equations with deviating argument
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On One Problem of the Investigation of Global Solutions of Linear Differential Equations with Deviating Argument
TL;DR: In this article, conditions under which global solutions of linear systems of differential equations with deviating argument are solutions of ordinary differential equations were presented, under the assumption that the argument is fixed.
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Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays.
TL;DR: It is found that a temporal delay alone does not push species into extinction, but rather may stabilize or destabilize coexistence equilibria, and it is concluded that the incorporation of dispersaldelay has a regularizing effect on dynamics, suggesting that dispersal delay can be proposed as a solution to the paradox of enrichment.
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Functional Differential Equations with Several Delays: Oscillatory Behavior
TL;DR: In this article , the authors study the asymptotic behavior of even-order delay functional differential equation and obtain improved and simplified criteria that test the oscillation of solutions of the studied equation.
References
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Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Related Papers (5)
Existence of positive solutions of nonlinear fractional delay differential equations
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