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On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations

Year 2019, , 173 - 178, 22.03.2019
https://doi.org/10.17776/csj.476495

Abstract

In
this work, we deal with an ill-posed boundary value problem for
multidimensional second-order evolution equations with variable coefficients.
By using the given data, we reduce the problem to a functional equation and we
obtain a new representation for the solution by means of the Hurwitz formula.

References

  • [1]. Anikonov, Yu. E., Neshchadim, M. V. Representations for the Solutions and Coefficients of Second-Order Differential Equations, Journal of Applied and Industrial Mathematics, 7 (1):15-21, 2013.
  • [2]. Markushevich, A. I. Introduction to the classical theory of Abelian functions, Translations of Mathematical Monographs, 96, American Mathematical Society, Providence, R. I., 1992.

İkinci Mertebeden Evrim Denklemleri için Kötü Konulmuş Bir Sınır Değer Probleminin Çözümü Üzerine

Year 2019, , 173 - 178, 22.03.2019
https://doi.org/10.17776/csj.476495

Abstract

Bu çalışmada, çok boyutlu değişken katsayılı
ikinci mertebeden evrim denklemleri için bir kötü konulmuş sınır değer problemi
ele alınmıştır. Veriler kullanılarak problem bir fonksiyonel denkleme
indirgenmiş ve Hurwitz formülü yardımıyla bir çözüm elde edilmiştir.  

References

  • [1]. Anikonov, Yu. E., Neshchadim, M. V. Representations for the Solutions and Coefficients of Second-Order Differential Equations, Journal of Applied and Industrial Mathematics, 7 (1):15-21, 2013.
  • [2]. Markushevich, A. I. Introduction to the classical theory of Abelian functions, Translations of Mathematical Monographs, 96, American Mathematical Society, Providence, R. I., 1992.
There are 2 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

İsmet Gölgeleyen 0000-0002-3602-7219

Mustafa Yıldız 0000-0003-3367-7176

Publication Date March 22, 2019
Submission Date October 30, 2018
Acceptance Date February 23, 2019
Published in Issue Year 2019

Cite

APA Gölgeleyen, İ., & Yıldız, M. (2019). On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations. Cumhuriyet Science Journal, 40(1), 173-178. https://doi.org/10.17776/csj.476495