Publication Cover
Applicable Analysis
An International Journal
Volume 4, 1975 - Issue 4
19
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

An integral equation perturbation technique in applied mathematics-ii

&
Pages 297-329 | Received 19 Jan 1971, Published online: 02 May 2007

References

  • Barrat , P.J. and Collins , W.D. 1965 . The scattering cross-section of an obstacle in anelastic solid for plane harmonic waves . Proc. Camb. Phil. Soc , 61 : 969 – 981 .
  • Bouwkamp , C.J. 1950 . On the freely vibrating circular disk and diffraction by circular disks and apertures . Physica's-Grav , 16 : 1 – 16 .
  • Bouwkamp , C.J. 1954 . Diffraction theory . Rep. Progr. Phys , 17 : 35 – 100 .
  • Collins , W.D. 1962 . Some scalar diffraction problems by a spherical cap . Arch. Rat. Math. Anal , 10 : 249 – 266 .
  • Data , S.K. 1970 . The diffraction of a plane compressional elastic wave by a rigid circular disc . Quart. App. Math , 28 : 1 – 14 .
  • Einspruch , N.G. , Wilterholt , E.J. and Truell , R. 1960 . Scattering of a plane transverse wave by a spherical obstacle in an elastic medium . J. App. Phys , 31 : 806 – 818 .
  • Jain , D.L. 1970 . Solutions of various boundry value problems by integral equations thchniques. dissertation , Penn. State Univ .
  • Kanwal , R.P. 1970 . An integral equation perturbation technique in applied mathematics . J. Math. Mech , 19 : 625 – 656 .
  • Kanwal , R.P. 1971 . Linear Integral Equations , New York : Academic Press .
  • Knopoff , L. 1959 . Scattering of compression waves by spherical obstacles . Geophys , 24 : 30 – 39 .
  • Knopoff , L. 1959 . Scattering of shear waves by spherical obstacles . Geophys , 24 : 209 – 219 .
  • Lawrence , E.G. 1970 . Diffraction of elastic waves by a rigid inclusion . Quart. J. Mech. and Appl. Math , 23 : 389 – 397 .
  • Mal , A.K. , Ang , D.D. and Knopoff , L. 1968 . Diffraction of elastic waves by a rigid circular disc . Proc. Camp. Phil. Soc , 64 : 237 – 247 .
  • Mal , A.K. 1968 . Diffraction of elastic waves by a penny-shaped crack . Quart. Appl. Math , 26 : 231 – 238 .
  • Mal , A.K. 1968 . Dynamic stress intensity factor for an axisymmetric loading of the pennyshaped crack . Int. J. Engng Sci , 6 : 623 – 629 .
  • Noble , B. 1962 . Electromagnetic waves , Univ. of Wisconsin Press .
  • Robertson , I.A. 1967 . Diffraction of a plane longitudinal wave by a penny shaped crack . Proc. Phil. Soc , 63 : 229 – 238 .
  • Williams , W.E. 1962 . The reduction of boundary value problems to Fredholm integral equations of the second kind . J. Appl. Math. Phys , 13 : 133 – 152 .
  • Ying , C.F. and Truell , R. 1956 . Scattering of a plane longitudial wave by a spherical obstacle in an isotropically elastic solid . J. Appl. Phys , 27 : 1086 – 1097 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.