Journal of Mathematical Sciences

, Volume 230, Issue 5, pp 695–698 | Cite as

On the Solvability of the Periodic Boundary-Value Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative

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Abstract

In this paper, we obtain solvability conditions for the periodic boundary-value problem for a certain first-order differential equation unsolved with respect to the derivative. These condition were obtained by using the theorem on implicit operators.

Keywords and phrases

periodic boundary-value problem existence of solution theorem on implicit operators 

AMS Subject Classification

39X02 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Perm National Research Polytechnic UniversityPermRussia

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