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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 119–129 (Mi smj944)  
This article is cited in 14 scientific papers (total in 14 papers)

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

V. S. Il'kiva, B. I. Ptashnicb

a Lviv Polytechnic National University
b Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
Full-text PDF (208 kB) Citations (14)
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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.
Keywords: partial differential equation, nonlocal condition, ill-posed problem, pseudosolution, convex minimization problem.
Received: 04.10.2003
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 94–102
DOI: https://doi.org/10.1007/s11202-005-0010-5
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: V. S. Il'kiv, B. I. Ptashnic, “An ill-posed nonlocal two-point problem for systems of partial differential equations”, Sibirsk. Mat. Zh., 46:1 (2005), 119–129; Siberian Math. J., 46:1 (2005), 94–102
Citation in format AMSBIB
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\paper An ill-posed nonlocal two-point problem for systems of partial differential equations
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\vol 46
\issue 1
\pages 119--129
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\zmath{https://zbmath.org/?q=an:1081.35131}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 94--102
\crossref{https://doi.org/10.1007/s11202-005-0010-5}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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