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Application to Hankel Type and Multidimensional Integral Equations

In: Equations with Involutive Operators

Author

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  • Nikolai Karapetiants

    (Rostov State University, Department of Mathematics)

  • Stefan Samko

    (Universidade do Algarve, Faculdade de Ciências e Tecnologia)

Abstract

In this chapter we give applications of our general approach in situations which required, to a certain extent, more effort to arrive at effective and constructive final results while realizing the general scheme. This is, first of all, the convolution type equation (34.1), (34.2), see below. The chapter concludes with applications to multidimensional integral equations of convolution type with involutive linear shifts in Euclidean space and equations with homogeneous kernels including terms with the shift 34.1 $$ \alpha (x) = \frac{x} {{|x|^2 }},x \in R^n . $$

Suggested Citation

  • Nikolai Karapetiants & Stefan Samko, 2001. "Application to Hankel Type and Multidimensional Integral Equations," Springer Books, in: Equations with Involutive Operators, chapter 7, pages 339-393, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0183-0_7
    DOI: 10.1007/978-1-4612-0183-0_7
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