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Year 2023, , 1 - 8, 30.12.2023
https://doi.org/10.38061/idunas.1368788

Abstract

References

  • 1. Sharma, P.R., Methi, G. (2012). Solution of two-dimensional parabolic equation subject to non-local conditions using homotopy Perturbation method, Jour. of App.Com., 1, 12-16.
  • 2. Cannon, J. Lin, Y. (1899). Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations, Inverse Problems, 4, 595-606.
  • 3. Dehghan, M. (2005). Efficient techniques for the parabolic equation subject to nonlocal specifications, Applied Numerical Mathematics, 52(1), 39-62.
  • 4. Dehghan, M. (2001). Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification, Journal of Computational Analysis and Applications, 3(4).
  • 5. He X.Q., Kitipornchai S., Liew K.M., (2005). Buckling analysis of multi-walled carbon nanotubes a continuum model accounting for van der Waals interaction, Journal of the Mechanics and Physics of Solids, 53, 303-326.
  • 6. Natsuki T., Ni Q.Q., Endo M., (2007). Wave propagation in single-and double-walled carbon nano tubes filled with fluids, Journal of Applied Physics, 101, 034319.
  • 7. Ionkin, N.I. (1977). Solution of a boundary value problem in heat conduction with a nonclassical boundary condition, Differential Equations, 13, 204-211.
  • 8. Hill G.W. (1886). On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon, Acta Mathematica, 8, 1-36.

Analysis of Inverse Coefficient Problem for Euler-Bernoulli Equation with Periodic and Integral Conditions

Year 2023, , 1 - 8, 30.12.2023
https://doi.org/10.38061/idunas.1368788

Abstract

The research, we investigate the solution of the inverse problem of a linear Euler-Bernoulli equation. For this purpose, the existence of this problem, its uniqueness and its constant dependence on the data are demonstrated using the Picard and Fourier methods.

References

  • 1. Sharma, P.R., Methi, G. (2012). Solution of two-dimensional parabolic equation subject to non-local conditions using homotopy Perturbation method, Jour. of App.Com., 1, 12-16.
  • 2. Cannon, J. Lin, Y. (1899). Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations, Inverse Problems, 4, 595-606.
  • 3. Dehghan, M. (2005). Efficient techniques for the parabolic equation subject to nonlocal specifications, Applied Numerical Mathematics, 52(1), 39-62.
  • 4. Dehghan, M. (2001). Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification, Journal of Computational Analysis and Applications, 3(4).
  • 5. He X.Q., Kitipornchai S., Liew K.M., (2005). Buckling analysis of multi-walled carbon nanotubes a continuum model accounting for van der Waals interaction, Journal of the Mechanics and Physics of Solids, 53, 303-326.
  • 6. Natsuki T., Ni Q.Q., Endo M., (2007). Wave propagation in single-and double-walled carbon nano tubes filled with fluids, Journal of Applied Physics, 101, 034319.
  • 7. Ionkin, N.I. (1977). Solution of a boundary value problem in heat conduction with a nonclassical boundary condition, Differential Equations, 13, 204-211.
  • 8. Hill G.W. (1886). On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon, Acta Mathematica, 8, 1-36.
There are 8 citations in total.

Details

Primary Language English
Subjects Theoretical and Applied Mechanics in Mathematics
Journal Section Articles
Authors

İrem Bağlan 0000-0002-1877-9791

Publication Date December 30, 2023
Acceptance Date November 9, 2023
Published in Issue Year 2023

Cite

APA Bağlan, İ. (2023). Analysis of Inverse Coefficient Problem for Euler-Bernoulli Equation with Periodic and Integral Conditions. Natural and Applied Sciences Journal, 6(2), 1-8. https://doi.org/10.38061/idunas.1368788