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Differential Equations

, Volume 55, Issue 8, pp 1069–1076 | Cite as

On the Solvability of Boundary Value Problems for an Abstract Bessel-Struve Equation

  • A. V. GlushakEmail author
Partial Differential Equations
  • 3 Downloads

Abstract

We consider the Dirichlet and Neumann boundary value problems for the hyperbolic Bessel-Struve equation u″(t) + kt−1(u′(t) - u′(0)) = Au(t) on the half-line t > 0, where k > 0 is a parameter and A is a densely defined closed linear operator in a complex Banach space E. Generally speaking, these problems are ill posed. We establish sufficient conditions on the operator coefficient A and the boundary elements for these problems to be uniquely solvable.

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Notes

Funding

This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00732.

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Belgorod State UniversityBelgorodRussia

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