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Mathematical Analysis and Applications pp 1–16Cite as

Exact Solution to Systems of Linear First-Order Integro-Differential Equations with Multipoint and Integral Conditions

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 154))

Abstract

This paper is devoted to the study of nonhomogeneous systems of linear first-order ordinary integro-differential equations of Fredholm type with multipoint and integral boundary constraints. Sufficient conditions for the solvability and correctness of the problem are established and the unique solution is provided in closed-form. The approach followed is based on the extension theory of operators.

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Author information

Authors and Affiliations

  1. Department of Fundamental Mathematics, L.N. Gumilyov Eurasian National University, Astana, Republic of Kazakhstan

    M. M. Baiburin

  2. University of Thessaly, Larissa, Greece

    E. Providas

Authors
  1. M. M. Baiburin
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  2. E. Providas
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Correspondence to E. Providas .

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Editors and Affiliations

  1. Department of Mathematics, Zografou Campus, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, USA

    Panos M. Pardalos

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Baiburin, M.M., Providas, E. (2019). Exact Solution to Systems of Linear First-Order Integro-Differential Equations with Multipoint and Integral Conditions. In: Rassias, T., Pardalos, P. (eds) Mathematical Analysis and Applications. Springer Optimization and Its Applications, vol 154. Springer, Cham. https://doi.org/10.1007/978-3-030-31339-5_1

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