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An ill-posed nonlocal two-point problem for systems of partial differential equations

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Abstract

We study conditions for existence and uniqueness of a pseudosolution in a Sobolev space to a nonlocal two-point boundary-value problem for an indefinite type nonhomogeneous system of partial differential equations with continuous coefficients. We construct a solution to the problem using a minimization method in Sobolev spaces.

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Authors and Affiliations

  1. Lviv Polytechnic National University, Lviv

    V. S. Il’kiv & B. I. Ptashnyk

Authors
  1. V. S. Il’kiv
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  2. B. I. Ptashnyk
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Additional information

Original Russian Text Copyright © 2005 Il’kiv V. S. and Ptashnyk B. I.

Translated from Sibirski \( \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\imath} \) Matematicheski \( \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\imath} \) Zhurnal, Vol. 46, No. 1, pp. 119–129, January–February, 2005.

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Il’kiv, V.S., Ptashnyk, B.I. An ill-posed nonlocal two-point problem for systems of partial differential equations. Sib Math J 46, 94–102 (2005). https://doi.org/10.1007/s11202-005-0010-5

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  • DOI: https://doi.org/10.1007/s11202-005-0010-5

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