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Direct and inverse problems for degenerate differential equations

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Abstract

We are concerned with a general abstract equation that allows to handle various degenerate first and second order differential equations in Banach spaces. We indicate sufficient conditions for existence and uniqueness of a solution. Periodic conditions are assumed to improve previous approaches on the abstract problem to work on \((-\infty ,\infty )\). Related inverse problems are discussed, too. All general results are applied to some systems of partial differential equations. Inverse problems for degenerate evolution integro-differential equations might be described, too.

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Authors and Affiliations

  1. Department of Mathematics, The University of Jordan, Amman, Jordan

    Mohammed Al Horani

  2. Dipartimento di Matematica, Universita di Bologna, Piazza di Porta S. Donato 5, 40126, Bologna, Italy

    Mauro Fabrizio & Angelo Favini

  3. Hirai Sanso 12-13, Takarazuka, 665-0817, Japan

    Hiroki Tanabe

Authors
  1. Mohammed Al Horani
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  2. Mauro Fabrizio
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  3. Angelo Favini
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  4. Hiroki Tanabe
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Corresponding author

Correspondence to Mauro Fabrizio.

Additional information

This work was partially supported by GNAMPA and RFO of the University of Bologna.

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Al Horani, M., Fabrizio, M., Favini, A. et al. Direct and inverse problems for degenerate differential equations. Ann Univ Ferrara 64, 227–241 (2018). https://doi.org/10.1007/s11565-018-0303-9

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  • DOI: https://doi.org/10.1007/s11565-018-0303-9

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