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MIXED PROBLEMS FOR LINEAR AND QUASILINEAR PSEUDOPARABOLIC EQUATIONS

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2004-2005

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this article, the integral operator method has been used for the solution of mixed problems for an inhomogeneous pseudoparabolic equations.The obtained solutions are constructed on the basis of the solutions of corresponding problems for the parabolic equations and are represented by the integral of the multiplication of these solutions by a generalized functions, which are the generalized solutions of spesific differential equation of hyperbolic type.This functions are determining the hereditary properties of the medium which fills the region where the physical event is examined shows the effect of this property to the solutions we are trying to find. The formulas which were obtained are considered as the consistency principles of the solutions of the problems which were put forward for parabolic and pseudoparabolic equations. Corresponding problems for pseudoparabolic quasilinear equation with linear principal part are investigated on the basis of having constructed solutions for linear problems.
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PDF icon arastrmx_190866_1_pp_127-142.pdf
127-142
  • English

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REFERENCES

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