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Some Problems in Second Order Evolution Inclusions with Boundary Condition: A Variational Approach

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Advances in Mathematical Economics

Part of the book series: Advances in Mathematical Economics ((MATHECON,volume 21))

Abstract

We prove, under appropriate assumptions, the existence of solutions for a second order evolution inclusion with boundary conditions via a variational approach.

JEL Classification: C61, C73.

Mathematics Subject Classifications (2010): 34A60, 34B15.

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Notes

  1. 1.

    Actually \({\mathcal B}(E_\sigma )= {\mathcal B}(E)\) since E is separable.

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Université Montpellier II, Case 051, 34095, Montpellier Cedex 5, France

    Charles Castaing

  2. Department of Mathematics and Statistics, University of Economics of Ho Chi Minh City, 59C Nguyen Dinh Chieu Str. Dist. 3, Ho Chi Minh City, Vietnam

    Truong Le Xuan

  3. Laboratoire Raphaël Salem, UMR CNRS 6085, Normandie Université, Rouen, France

    Paul Raynaud de Fitte

  4. Dipartimento di Matematica, Università‘di Perugia, via Vanvitelli 1, 06123, Perugia, Italy

    Anna Salvadori

Authors
  1. Charles Castaing
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  2. Truong Le Xuan
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  3. Paul Raynaud de Fitte
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  4. Anna Salvadori
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Corresponding author

Correspondence to Charles Castaing .

Editor information

Editors and Affiliations

  1. Professor Emeritus, The University of Tokyo, Meguro-ku, Tokyo, Japan

    Shigeo Kusuoka

  2. Professor Emeritus, Keio University , Minato-ku, Tokyo, Japan

    Toru Maruyama

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Castaing, C., Le Xuan, T., Raynaud de Fitte, P., Salvadori, A. (2017). Some Problems in Second Order Evolution Inclusions with Boundary Condition: A Variational Approach. In: Kusuoka, S., Maruyama, T. (eds) Advances in Mathematical Economics . Advances in Mathematical Economics, vol 21. Springer, Singapore. https://doi.org/10.1007/978-981-10-4145-7_1

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