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EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DIRICHLET
NONLOCAL PROBLEM WITH NONLOCAL INITIAL CONDITION

Publication date: 09.02.2015

Technical Transactions, 2014, Nauki Podstawowe Issue 2 NP (16) 2014, pp. 3 - 7

https://doi.org/10.4467/2353737XCT.14.294.3382

Authors

,
Ludwik Byszewski
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
https://orcid.org/0000-0001-7227-8990 Orcid
All publications →
Teresa Winiarska
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
All publications →

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Titles

EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DIRICHLET
NONLOCAL PROBLEM WITH NONLOCAL INITIAL CONDITION

Abstract

The aim of this paper is to prove the existence and uniqueness of solutions of the Dirichlet nonlocal problem with nonlocal initial condition. The considerations are extensions of results by E. Andreu-Vaillo, J. M. Mazón, J. D. Rossi and J. J. Toledo-Melero [1].

Keywords

References

Andreu-Vaillo F., Mazón J. M., Rossi J. D., Toledo-Melero J. J., Nonlocal Diffusion Problems, American Mathematical Society, Providence, Rhode Island 2010.

Kamont Z., Ordinary Differential Equations, Wydawnictwo Uniwersytetu Gdanskiego, Gdansk 1999 [in Polish].

Muszynski J., Myszkis A. D., Ordinary Differential Equations, Panstwowe Wydawnictwo Naukowe, Warszawa 1984 [in Polish].

Pelczar A., Szarski J., Introduction to the Theory of Differential Equations, Panstwowe Wydawnictwo Naukowe, Warszawa 1987 [in Polish].

Information

Information: Technical Transactions, 2014, Nauki Podstawowe Issue 2 NP (16) 2014, pp. 3 - 7

Article type: Original article

Titles:

Polish:

EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DIRICHLET
NONLOCAL PROBLEM WITH NONLOCAL INITIAL CONDITION

English:

EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DIRICHLET
NONLOCAL PROBLEM WITH NONLOCAL INITIAL CONDITION

Authors

https://orcid.org/0000-0001-7227-8990

Ludwik Byszewski
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
https://orcid.org/0000-0001-7227-8990 Orcid
All publications →

Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology

Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology

Published at: 09.02.2015

Article status: Open

Licence: None

Percentage share of authors:

Ludwik Byszewski (Author) - 50%
Teresa Winiarska (Author) - 50%

Article corrections:

-

Publication languages:

English

View count: 1798

Number of downloads: 1116

<p> EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DIRICHLET<br /> NONLOCAL PROBLEM WITH NONLOCAL INITIAL CONDITION</p>
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