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Determination of an Unknown Coefficient in the Third Order Pseudoparabolic Equation with Non‐Self‐Adjoint Boundary Conditions

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  • Yashar T. Mehraliyev
  • Gulshan Kh. Shafiyeva

Abstract

The solvability of the inverse boundary problem with an unknown coefficient dependent on time for the third order pseudoparabolic equation with non‐self‐adjoint boundary conditions is investigated in the present paper. Here we have introduced the definition of the classical solution of the considered inverse boundary value problem, which is reduced to the system of integral equations by the Fourier method. At first, the existence and uniqueness of the solution of the obtaining system of integral equations is proved by the method of contraction mappings; then the existence and uniqueness of the classical solution of the stated problem is proved.

Suggested Citation

  • Yashar T. Mehraliyev & Gulshan Kh. Shafiyeva, 2014. "Determination of an Unknown Coefficient in the Third Order Pseudoparabolic Equation with Non‐Self‐Adjoint Boundary Conditions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:358696
    DOI: 10.1155/2014/358696
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    References listed on IDEAS

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    1. Fatma Kanca, 2013. "Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Fatma Kanca, 2013. "Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, September.
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