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On the Existence of Positive Periodic Solutions to Second Order Linear Functional Differential Equations

Eugene Bravyi
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The article was published on 2015-01-01 and is currently open access. It has received 1 citations till now. The article focuses on the topics: Differential equation & Linear differential equation.

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On a boundary value problem for first-order scalar functional differential equations

TL;DR: In this article, nonimprovable effective sufficient conditions for solvability and uniqueness of the boundary value problem were established for continuous operators satisfying the Caratheodory condition, where F : C([a,b];R) → L([a and b];R] is a continuous operator satisfying the CARA condition.
Journal ArticleDOI

Periodic solutions of nonautonomous ordinary differential equations

TL;DR: For higher order ordinary differential equations, new sufficient conditions on the existence and uniqueness of periodic solutions were established in this paper, covering the case when the right-hand side of the equation is not of a constant sign with respect to an independent variable.
Journal Article

Periodic solutions of nonautonomous ordinary differentialequations

TL;DR: In this article, sufficient conditions on the existence and uniqueness of Periodic Solution were established for higher-order ODEs with respect to a variable independent variable, when the right-hand side of the equation is not of a constant sign.
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On a periodic-type boundary value problem for first-order nonlinear functional differential equations

TL;DR: In this article, sufficient conditions for the unique solvability of antiperiodic type BVP for first order scalar functional differential equations are established, in a certain sense, in the sense that sufficient conditions are not necessary.