Nonlocal Problems for the Fourth Order Impulsive Partial Differential Equations

Nonlocal problems for an impulsive system of fourth-order partial differential equations are investigated. By the method of introducing additional functions, the problems under study are reduced to an equivalent problem consisting of the impulsive system

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Sandra Pinelas · John R. Graef · Stefan Hilger · Peter Kloeden · Christos Schinas   Editors

Differential and Difference Equations with Applications ICDDEA 2019, Lisbon, Portugal, July 1–5

Springer Proceedings in Mathematics & Statistics Volume 333

Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.

More information about this series at http://www.springer.com/series/10533

Sandra Pinelas John R. Graef Stefan Hilger Peter Kloeden Christos Schinas •







Editors

Differential and Difference Equations with Applications ICDDEA 2019, Lisbon, Portugal, July 1–5

123

Editors Sandra Pinelas Department of Exact Sciences and Engineering Military Academy Lisbon, Portugal

John R. Graef Department of Mathematics University of Tennessee at Chattanooga Chattanooga, TN, USA

S.M. Nikolskii Mathematical Institute of RUDN Moscow, Russia

Peter Kloeden Huazhong University of Science and Technology Wuhan, Hubei, China

Stefan Hilger Mathematik und Didaktik Katholische Universität Eichstätt Eichstätt, Bayern, Germany Christos Schinas Department of Electrical and Computer Engineering Democritus University of Thrace Xanthi, Xanthi, Greece

ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-030-56322-6 ISBN 978-3-030-56323-3 (eBook) https://doi.org/10.1007/978-3-030-56323-3 Mathematics Subject Classification: 33C45, 34A33, 34A40, 34B10, 34B15, 34B16, 34B18, 34B37, 34C10, 34C15, 34C37, 34D05, 34H05, 34K06, 34K20, 34K25, 34K26, 34L15, 34K11, 34K45, 34H05, 35B15, 35B40, 35B41, 35L55, 35J20, 35Q30, 35Q55, 35Q80, 37B10, 37E05, 37G10, 37G15, 37L30, 37H99, 37M20, 39A10, 39A13, 39A06, 39A12, 45J05, 47B39, 47B25, 47B37, 47B65, 47H06, 47H10, 47D06, 47J15, 54C60, 65L10, 65M10, 65M20, 65N30, 65N50, 65Q10, 76H05, 76Z05, 92D25, 93B03, 93B40 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absenc

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