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Complex Variables and Elliptic Equations
An International Journal
Volume 64, 2019 - Issue 5: A Special Issue dedicated to Prof. A. V. Bitsadze on the occasion of his 100th birthday: Elliptic equations, systems and mixed type equations, theory and applications to plane elasticity
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Original Articles

On the solvability of the singular equation of peridynamics

Shavkat AlimovNational University of Uzbekistan, Tashkent, UzbekistanCorrespondence[email protected]
[email protected]
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Shukhrat SheralievTashkent Branch, Lomonosov Moscow State University, Tashkent, UzbekistanView further author information
Pages 873-887 | Received 29 Jun 2018, Accepted 16 Dec 2018, Published online: 14 Feb 2019
 
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ABSTRACT

The singular periodic integro-differential equation of peridynamics in logarithmic scale of Hilbert spaces is considered. The existence and uniqueness of solution are proved.

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Acknowledgments

The authors are grateful to the anonymous referees for valuable remarks which helped the authors to improve the content and presentation of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Academy of Sciences Republic of Uzbekistan OT-F4-(36/32) and The Foundation for Supporting the Innovation Development of the Republic of Uzbekistan.

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