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Works cited by this work

17 works

Work: Solvability of Singular Equations of Peridynamics on Two-Dimensional Periodic Structures

  1. A Treatise on the Theory of Bessel Functions

    H. T. Davis, G. N. Watson

    Article194419 citations
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  2. A Treatise on the Theory of Bessel Functions.

    Matthew Porter, G. N. Watson

    Article192318 citations
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  3. Eigenfunction expansions associated with second-order differential equations

    E. C. Titchmarsh

    Book194611 citations
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  4. Reformulation of elasticity theory for discontinuities and long-range forces

    Stewart Silling

    Article200010 citations
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  5. On the solvability of the singular equation of peridynamics

    Shavkat Alimov, Shukhrat Sheraliev

    ArticleNumerical methods in engineeringComplex Variables and Elliptic Equations20198 citations
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  6. On the problems of peridynamics with special convolution kernels

    Shavkat Alimov, Yanzhao Cao, Onur Alp İlhan

    ArticleNumerical methods in engineeringJournal of Integral Equations and Applications20147 citations
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  7. Peridynamics: A Nonlocal Continuum Theory

    Etienne Emmrich, Richard B. Lehoucq, Dimitri Puhst

    Chapter20127 citations
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  8. Peridynamics as an Upscaling of Molecular Dynamics

    Pablo Seleson, Michael L. Parks, Max Gunzburger +1

    Article20097 citations
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  9. A New Approach for a Nonlocal, Nonlinear Conservation Law

    Qiang Du, James R. Kamm, Richard B. Lehoucq +1

    Article20127 citations
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  10. Approximation of Functions of Several Variables and Imbedding Theorems

    Sergei Mihailovic Nikol’skii

    Book19757 citations
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  11. Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions

    Kun Zhou, Qiang Du

    Article20106 citations
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  12. A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

    Max Gunzburger, Richard B. Lehoucq

    Article20105 citations
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  13. Untitled

    Other3 citations
    ABI

  14. On the Solvability of the Peridynamic Equation with a SingularKernel

    Sh. A. Alimov, A. V. Yuldasheva

    ArticleNumerical methods in engineeringDifferential Equations20211 citations
    ABI

  15. Untitled

    Other1 citations
    ABI

  16. Untitled

    Other1 citations
    ABI

  17. On the solvability of hypersingular equation of peridynamics

    Shavkat Alimov, Shukhrat Sheraliev

    ArticleNumerical methods in engineeringBulletin of National University of Uzbekistan Mathematics and Natural Sciences20201 citations
    ABI