Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-15T03:42:47.291Z Has data issue: false hasContentIssue false
  • English
  • Français

Solution of an integral equation

Published online by Cambridge University Press:  18 May 2009

J. S. Lowndes
J. S. Lowndes
Affiliation:
Department of Mathematics, University Of Strathclyde, Glasgow.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we obtain the general solution of the equation

whose kernel is

where 0<α, β<1, μ, η, σ > 0, δ>0, are real parameters, z = max(x, y), φ(t) and g(y) are prescribed functions and ƒ(x) is to be determined.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 1 , January 1978 , pp. 69 - 73
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

References

REFERENCES

1.Lowndes, J. S., Some triple integral equations, Pacific J. Math. 38 (1971) 515–521.CrossRefGoogle Scholar
2.Magnus, W., Oberhettinger, F. and Soni, R. P., Formulas and theorems for the special functions of mathematical physics, 3rd ed. (Springer-Verlag, 1966)CrossRefGoogle Scholar
3.Noble, B., Methods based on the Wiener-Hopf technique, (Pergamon Press, 1958)Google Scholar
4.Noble, B. and Peters, A. S., A multiplying factor technique for the solution of Wiener-Hopf equations, Proc. Edinburgh Math. Soc. 12 (1961) 119–122.CrossRefGoogle Scholar
5.Sneddon, I. N., The use in mathematical physics of Erdélyi-Kober operators and some of their generalisations, Lecture notes in mathematics No. 457 (Springer-Verlag, 1975) 37–79.Google Scholar