Have a personal or library account? Click to login
On the Bounds for the Derivatives of the Solutions of the Linear Volterra Integral Equations Cover

On the Bounds for the Derivatives of the Solutions of the Linear Volterra Integral Equations

Annals of West University of Timisoara - Mathematics and Computer Science
Volume 51 (2013): Issue 2 (December 2013)
By: Ismet Özdemir and  Ö. Faruk Temizer  
Open Access
|Jan 2014

References

  1. [1] R. S. Anderssen, A. R. Davies, and F. R. de Hoog, Fast collocation methods for Volterra integral equations of convolution type, J. Comput. Appl. Math., 196, (2006), 652-663.10.1016/j.cam.2005.10.018
    Search in Google Scholar
  2. [2] R. S. Anderssen, A. R. Davies, and F. R. de Hoog, The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity, Appl. Math. Lett., 24, (2011), 71-75. 10.1016/j.aml.2010.08.019
    Search in Google Scholar
  3. [3] R. Bellman and K. L. Cooke, Differential - Difference Equations, Academic press, New York, 1963.10.1063/1.3050672
    Search in Google Scholar
  4. [4] F. R de Hoog and R. S. Anderssen, Kernel perturbations for a class of secondkind convolution Volterra equations with non-negative kernels, Appl. Math. Lett., 25, (2012), 1222-1225.10.1016/j.aml.2012.02.058
    Search in Google Scholar
  5. [5] R. Ling, Integral equations of Volterra type, J. Math. Anal. Appl., 64, (1978), 381-397.10.1016/0022-247X(78)90046-X
    Search in Google Scholar
  6. [6] R. Ling, Solutions of singular integral equations, Internat. J. Math. & Math. Sci., 5 (1), (1982), 123-131.10.1155/S016117128200012X
    Search in Google Scholar
  7. [7] I. Özdemir and Ö. F. Temizer, On the linear Volterra integral equations with convolution kernel, Analele Universitatii din Timisoara (Seria Matematica-Informatica), XXXVII (2), (1999), 113-122.
    Search in Google Scholar
  8. [8] I. Özdemir and Ö. F. Temizer, Expansion of the boundaries of the solutions of the linear Volterra integral equations with convolution kernel, Integr. Equ. Oper. Theory, 43(4), (2002), 466-479.10.1007/BF01212705
    Search in Google Scholar
  9. [9] I. Özdemir and Ö. F. Temizer, The boundaries of the solutions of the linear Volterra integral equations with convolution kernel, Math. Comp., 75, (2006), 1175-1199.10.1090/S0025-5718-06-01834-5
    Search in Google Scholar
  10. [10] I. Özdemir and Ö. F. Temizer, On the solutions of the linear integral equations of Volterra type, Math. Methods Appl. Sci., 30(18), (2007), 2329-2369.10.1002/mma.888
    Search in Google Scholar
  11. [11] I. Özdemir and Ö. F. Temizer, On some properties of the solution of the linear integral equation of Volterra type, An. Univ. Vest Timis., Ser. Mat.-Inform., LI (1), (2013), 117-15110.2478/awutm-2013-0009
    Search in Google Scholar
  12. [12] Ö. F. Temizer and I. Özdemir, On the bounded derivatives of the solutions of the linear Volterra integral equations, Int. J. Comput. Math., 86 (9), (2009), 1512-1541.10.1080/00207160701882121
    Search in Google Scholar
  13. [13] F. G. Tricomi, Integral Equations, Dover Publications, Inc., New York, 1985.
    Search in Google Scholar
DOI: https://doi.org/10.2478/awutm-2013-0018 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Journal RSS Feed
Language: English
Page range: 89 - 113
Published on: Jan 22, 2014
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
Linear Volterra integral equations with convolution kernel,
Equivalence theorem,
Convolution theorem
Related subjects:
Mathematics,
General mathematics

© 2014 Ismet Özdemir, Ö. Faruk Temizer, published by West University of Timisoara
This work is licensed under the Creative Commons License.

Previous articleVolume 51 (2013): Issue 2 (December 2013)Next article